{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Define TF version of the layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import numpy as np\n",
    "\n",
    "from tensorflow.contrib.keras import layers\n",
    "from tensorflow.python.layers.core import Dense\n",
    "\n",
    "\n",
    "class ConcreteDropout(layers.Wrapper):\n",
    "    \"\"\"This wrapper allows to learn the dropout probability\n",
    "        for any given input layer.\n",
    "    ```python\n",
    "        # as the first layer in a model\n",
    "        model = Sequential()\n",
    "        model.add(ConcreteDropout(Dense(8), input_shape=(16)))\n",
    "        # now model.output_shape == (None, 8)\n",
    "        # subsequent layers: no need for input_shape\n",
    "        model.add(ConcreteDropout(Dense(32)))\n",
    "        # now model.output_shape == (None, 32)\n",
    "    ```\n",
    "    `ConcreteDropout` can be used with arbitrary layers, not just `Dense`,\n",
    "    for instance with a `Conv2D` layer:\n",
    "    ```python\n",
    "        model = Sequential()\n",
    "        model.add(ConcreteDropout(Conv2D(64, (3, 3)),\n",
    "                                  input_shape=(299, 299, 3)))\n",
    "    ```\n",
    "    # Arguments\n",
    "        layer: a layer instance.\n",
    "        weight_regularizer:\n",
    "            A positive number which satisfies\n",
    "                $weight_regularizer = l**2 / (\\tau * N)$\n",
    "            with prior lengthscale l, model precision $\\tau$\n",
    "             (inverse observation noise),\n",
    "            and N the number of instances in the dataset.\n",
    "            Note that kernel_regularizer is not needed.\n",
    "        dropout_regularizer:\n",
    "            A positive number which satisfies\n",
    "                $dropout_regularizer = 2 / (\\tau * N)$\n",
    "            with model precision $\\tau$ (inverse observation noise) and\n",
    "             N the number of\n",
    "            instances in the dataset.\n",
    "            Note the relation between dropout_regularizer and weight_regularizer:\n",
    "                $weight_regularizer / dropout_regularizer = l**2 / 2$\n",
    "            with prior lengthscale l. Note also that the factor of two should be\n",
    "            ignored for cross-entropy loss, and used only for the eucledian\n",
    "            loss.\n",
    "\n",
    "    # Warning\n",
    "        You must import the actual layer class from tf layers,\n",
    "         else this will not work.\n",
    "    \"\"\"\n",
    "\n",
    "    def __init__(self, layer, weight_regularizer=1e-6, dropout_regularizer=1e-5,\n",
    "                 init_min=0.1, init_max=0.1, **kwargs):\n",
    "        assert 'kernel_regularizer' not in kwargs\n",
    "        super(ConcreteDropout, self).__init__(layer, **kwargs)\n",
    "        self.weight_regularizer = weight_regularizer\n",
    "        self.dropout_regularizer = dropout_regularizer\n",
    "        self.supports_masking = True\n",
    "        self.p_logit = None\n",
    "        self.p = None\n",
    "        self.init_min = (np.log(init_min) - np.log(1. - init_min))\n",
    "        self.init_max = (np.log(init_max) - np.log(1. - init_max))\n",
    "\n",
    "    def build(self, input_shape=None):\n",
    "        self.input_spec = layers.InputSpec(shape=input_shape)\n",
    "        if hasattr(self.layer, 'built') and not self.layer.built:\n",
    "            self.layer.build(input_shape)\n",
    "\n",
    "        # initialise p\n",
    "        self.p_logit = self.add_variable(name='p_logit',\n",
    "                                         shape=None,\n",
    "                                         initializer=tf.random_uniform(\n",
    "                                             (1,),\n",
    "                                             self.init_min,\n",
    "                                             self.init_max),\n",
    "                                         dtype=tf.float32,\n",
    "                                         trainable=True)\n",
    "\n",
    "        self.p = tf.nn.sigmoid(self.p_logit[0])\n",
    "        tf.add_to_collection(\"LAYER_P\", self.p)\n",
    "\n",
    "        # initialise regulariser / prior KL term\n",
    "        input_dim = int(np.prod(input_shape[1:]))\n",
    "\n",
    "        weight = self.layer.kernel\n",
    "        kernel_regularizer = self.weight_regularizer * tf.reduce_sum(tf.square(\n",
    "            weight)) / (1. - self.p)\n",
    "        dropout_regularizer = self.p * tf.log(self.p)\n",
    "        dropout_regularizer += (1. - self.p) * tf.log(1. - self.p)\n",
    "        dropout_regularizer *= self.dropout_regularizer * input_dim\n",
    "        regularizer = tf.reduce_sum(kernel_regularizer + dropout_regularizer)\n",
    "        # Add the regularisation loss to collection.\n",
    "        tf.add_to_collection(tf.GraphKeys.REGULARIZATION_LOSSES,\n",
    "                             regularizer)\n",
    "\n",
    "    def compute_output_shape(self, input_shape):\n",
    "        return self.layer.compute_output_shape(input_shape)\n",
    "\n",
    "    def concrete_dropout(self, x):\n",
    "        '''\n",
    "        Concrete dropout - used at training time (gradients can be propagated)\n",
    "        :param x: input\n",
    "        :return:  approx. dropped out input\n",
    "        '''\n",
    "        eps = 1e-7\n",
    "        temp = 0.1\n",
    "\n",
    "        unif_noise = tf.random_uniform(shape=tf.shape(x))\n",
    "        drop_prob = (\n",
    "            tf.log(self.p + eps)\n",
    "            - tf.log(1. - self.p + eps)\n",
    "            + tf.log(unif_noise + eps)\n",
    "            - tf.log(1. - unif_noise + eps)\n",
    "        )\n",
    "        drop_prob = tf.nn.sigmoid(drop_prob / temp)\n",
    "        random_tensor = 1. - drop_prob\n",
    "\n",
    "        retain_prob = 1. - self.p\n",
    "        x *= random_tensor\n",
    "        x /= retain_prob\n",
    "        return x\n",
    "\n",
    "    def call(self, inputs, training=None):\n",
    "        if training:\n",
    "            return self.layer.call(self.concrete_dropout(inputs))\n",
    "        else:\n",
    "            self.layer.call(inputs)\n",
    "\n",
    "\n",
    "def concrete_dropout(inputs, layer,\n",
    "                     trainable=True,\n",
    "                     weight_regularizer=1e-6,\n",
    "                     dropout_regularizer=1e-5,\n",
    "                     init_min=0.1, init_max=0.1,\n",
    "                     training=True,\n",
    "                     name=None,\n",
    "                     **kwargs):\n",
    "\n",
    "    cd_layer = ConcreteDropout(layer, weight_regularizer=weight_regularizer,\n",
    "                               dropout_regularizer=dropout_regularizer,\n",
    "                               init_min=init_min, init_max=init_max,\n",
    "                               trainable=trainable,\n",
    "                               name=name)\n",
    "    return cd_layer.apply(inputs, training=training)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Evaluate Concrete Dropout on synthetic data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAAB0CAYAAADJu93qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nARQYkQAKjEgABUYkgAIjEuD/mToofDh60n4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdc038f3b70>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAMwAAAB0CAYAAADJu93qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXt0W/WV7z+/c44ky5JjR/KDGCdOaELACY4Se5XLMDxK\nwiPhFWDWlBn6YAZKBxhWy/R5p6x1+aN3rc6dQntvW9pSaKHFa/q4ISVpYiBhGNIyKXfsxElwQiCQ\nOJiE2Jbih2S9zjm/+8eRjiVLBhsSP89nrazYkqzzc3K29m/v/d37J6SUODg4jA9lqhfg4DCTcAzG\nwWECOAbj4DABHINxcJgAjsE4OEwAx2AcHCbAhxqMEGKhEOJlIcRBIUSnEOJLmccDQogdQoi3Mn/P\nP/vLdXCYWsSH1WGEEAuABVLKPUKIMqAd2AjcCUSklN8RQnwTmC+l/MbZXrCDw1TyoR5GSnlSSrkn\n8/UQcAg4F7gZeDrzsqexjMjBYVbzoR4m78VCLAZ2ASuB41LKiszjAjid/X7Uz9wD3APg8/maLrjg\ngo+/ageHM0x7e3uflLLqw143boMRQviBV4D/KaV8VgjRn2sgQojTUsoPjGOam5tlW1vbuK7n4DCZ\nCCHapZTNH/a6cWXJhBAuYBPQIqV8NvPwqUx8k41zej7qYh0cZgrjyZIJ4EngkJTy0ZyntgCfz3z9\neeC5M788B4fphTaO11wKfBY4IIToyDz2z8B3gN8KIe4CuoC/PjtLdHCYPnyowUgp/wSIMZ5ee2aX\n4+AwvXEq/Q4OE8AxGAeHCeAYjIPDBHAMxsFhAjgG4+AwARyDcZhyWlokS5bpKKr1d0vL9B3M4hiM\nw6STayBV5+h84YEk8eY2Fv5TK/HmNr7wQJKqc6anATkG43DWyTWQ6lqdu+9N2wbSn0wy79oOSurD\nCFVSUh9m3rUdnI6l0eZHOfa2yufv1rnvfnNaeKLxVPodHD4y991v8rNfpgje0MHCjRGS3QHS2xsx\nYh6EKtEHSvHURfJ+xlMXwYiWUHnDa3jqrJ/56ZNreOrfTOZda71PvDvAvQ+uBtzcccdYdfUzj+Nh\nHM4aLS2Sx39uELwh34NUbtjPwO6lALiCUZLdAQBiB2s58eTlHH9kPcKTto2qpD6M4k0XeKLStXt5\n6GFjUn8nx8M4fCxaWiQPPWzQ9Y5K/XkG669RaH3R5NjbCorbwExqRHasoPwvjuBrOAFYHiQd9gNQ\nfskR+rY34lvRTez1hVRev8/2Kn3bVwHgazgxpifq+q06qb+vYzAOE8Y2krdVFI+Ob/VRFm48QuTV\npfz06UX4G4+j9tZRuX6/ffP3bg0R3nEhMulBuNMgJSeeuBzv+ScxExpD7UuovrWdkvowQMYT7aOv\ntRFfwwm08mGS3QH7eYBkd4D68wwm8zZ2DMZhQhSLSXq3hhjcvRThMShbc5T4WwuoXL8/7+avurGD\nns1NBDd0oJUl6WttxHv+SaL7F+FreI9ox+LiscyAl0RXEDPuYvCFEFzbYRvh8EureeR7jodxmIa0\ntEge/JpBXx9U39aBEfNw8qnLSIf9qL4EwmUgUxpDe5Ygk1rRm1+mNCL/fiFCKpgJF0PtSyip72X4\njXMRLqOoBxEug77fN/HFu1Qu/QvBQw830/Vba/v3yPfUSQ34wTEYh3HQ0iK598EUpWv3In9zMfqQ\nh4E/LSeYs+XqeS6E6k1jDHkRbr3oza+WxZG6QtXNe/K2amZCA9Wkb3sjlRv258QwjSgCnn5Csw3j\njjuyt+zU3LqOwTgUJTeY10p0vKu6KKkP4wpGOf3yhQD0bGpGplVUXxKAyg370Yc89L9yAad+fTFa\nxTDll76JVpYk3NqImVSpvmVv4Vbt2SaUkjRGXCP8/EXoA6Vo5cOYSQ2ZUjKZsMn3JsVwDMahINOV\nSii8fzpF1Y05ccqWELHX61A8KcyUF8WtU31bW543GH6zhvjbNVTeMJLp6t0SQigm7gX96G8tGHOr\n5ms6ytCeJej9pQiXgRFzU7K4Fz1SRry5c0pqLsVw6jBziNGV8vvuN6k6R+dz9+RLU94/ncLfeBwj\n5uHdH15Fz7NNmMMezKSLdMSP5k9SdZNVExk+vIDIzhUYQ16ir9dR2tCdVyupuqkDM+km0VWFVjFs\n11yyJLsDCI/O8ME6qm9pZ9FXW6m+rQ3FmybRHSAd9k1ZzaUYjoeZpRSrjzzzuzSla/falfLHnw6B\nkFTdtK9gm9S3vZGhuIZwm1RtbM+LOfR+L5EdKyip7yP+dk1eLNPX2oi7MpZXc5G6ClIiS0TBVq13\nSwiEQXBUVq1yw37Cz1+EKXX7fSa75lIMx2BmIblBetY4fvp0CDPmJrFzBeWXHAHA1AUy6Smezh30\nIjxpqm7sKDCmyI4VBK7upGdzE9W3jKqdrN9PZOcK22CS3QFUfxxpKnkBfe+WEADSUJApV9E16AOl\n9vdTUXMphrMlm4U89LBB6dq9+VujGztwBWME1nUSfn4FfX+4CKRip3NzyaZzZbL4jZyO+CmpD4+Z\nPk6H/UhDkOgK0rdtFSjYhpe7VZOGCoqJWhYvugatfBhXIEqiK8jwS6v59sNT72Ecg5lltLRIjh1R\n8dRFbG1W1//aQGTHCtJhH32tjci0tdUSmoE0oXdLiERXcOQm396Ib8W7dno4l2R3AMWTputf1o/5\nvHDpHH9kvbWlSisYg94xg/3qmzswYm56txauwYy7SEd8eNua+fH3pj7gh6n2bw5nlPvuN3n86RRa\nhUH/q0sZPliXF1/0bg1hDJSAaoJiIjSTmpva0Ic8Vjq3vxTVn6D0/PcZPnIOZU1H6WttLJC4+Fcf\nI3agDtNQCmonvVtDyJRK/Te2A5DoCtKzeU3xusy8uGVIpsr8Kw/Q94dVGNEShMsgGIDvP5ZNJU+f\nz3XHYGYJ991v8pMnDapv6WD4zZqi2qxszUOmNGQKUNOc+s3FuIJRKi57k1Sfj6H2JUQP1FF9m/Wz\n7soYkZ0rSIf9CLcOwsRdGWMo6ab6tjaMmMd+XisfxkxouCpj9ro8dRFkUqN3S4iqmzry0tAyrdD/\n6lIUT5rw9pC1jis6iLSG6H1/6r1JMRyDmaHkCiDRDBASmdI49btma+yirqIPeTjx5OWkw35cwSjz\nLj6CTGsEr++g/4/LR1XVV2GmBWVNRxncvczeQvkaTuBrOIE0BMe/u56a21+jZ/MaANvYyi85kvea\nbFIBMrFIRXzEiw2U4gpGmX/FYVRfkp7NTfhXdBO4+iBgeaTpENyPxfRclcMHks2C6RVh0KoQLoOq\nmzrQh6xPe8WjI3WliFE0ovrjDL62lMoNo9O4+wg/fxHxtxZ8oK5LH/IgVJOqW0bkLeHWRgBUXxLh\n0Un1+Sg1hG2IFZe9QXhbiNq7X0GoI12S0hDIlEb8nWqkcWjKBJUTYfpsDh2KMrrYuO4ak8/dpTPU\n6yJ5IoDqS9lFxMhLF4IUGINepK7aRpHbuIUC6bC/eBq3vxR9oARpQN/2xoIgXClJMfDq+fb1su8b\nXL+f/j+eT7i1kbI1RxlqX8Lx766nr7WR+Ve8gVaWHDNB4ApE0ftLeffR9dMquB8Lx8NMQ1paJF/+\nikE4Iq2MlguU0jinRD/H/zOAf81xBv98HjKtosc8RHasAGEgVOwi4/FH1udtyVR/HAQYg16UknRR\nD+IKRglc3UnftlWYRXRdZWuO5W3XsmSNrfLGDkqXn2Rw9zJqbn8tr+YipaRv+yoqN+TLZvyrjnNu\n73kcfUtjJtyOH7pCIcTPgRuAHinlysxjAeA3wGLgGPDXUsrTZ2+Zc4eWFsnd96ZJY1B927687VSi\nqxLFm2Rw93kIjxWzuIJRvOefZKh9CWVNR+0AHNUgsmMlMq2hlsUx0wrVN1tBd/+rS+ndGqLqxo68\nGGb+FW9QUh/Gt/LdEV2XW0fv9yJcBkN76sdUIrsqo/gaTpDoCiLcup1cEG4d/8puSs8/Rd+2xrwE\nAYA8Us+3p/EWbDTjMemngB8Cv8x57JvASzkHwn4TcA6EPQPc+48GyRRU37Ivr+dE8Sat7daAD8WX\nyrvZw62NyJRq9aKkCg0ka3DZHnl3ZQwhJKd+fTHCZSBcOmRCi9jBWmIZXVeu3MXX0E10/yLUsqEi\nxtZIxWWHSXQF7bSycFkFyflXHrYTAkbUy7lfbLW9S6BM4/uPTA8V8ngZz3EXuzJnW+ZyM3Bl5uun\ngf/AMZiPzX33m8RSOjLlsXtOShu6MRN1SFOhrNlS9I6Wq5RmbubRN3HuEInKDZZkBaB/1/I8RXG4\ntZHShm57MMXobsms3CUrizFjbrtuI1w60hSEt4UQHh2hGKhlCSqv31/ohbw67z66nvrzDH75+Mwy\nlCwfNeivkVKezHz9PlAz1guFEPcIIdqEEG29vb0f8XJzgyeesrJdqj9OZOdK9IEShvYswYh6UdwG\nQ3sWI1P5cpTYwVqiexcXSE9yJ7PAiGRlYPdSW+iYG7RH9y4m3ecbMyGQfTwd8SNcJsawm8obO6i+\nrR3Vm0YpTSJ1gT90nIrLDxckDYZfWs0vHtcwDcHRt7QZaSxwBqIsKaUUQow5UU1K+TjwOFiHwn7c\n680WsnWUY28rqB4DI6EBKj3PhRACShb1kjwRyPMavVtCkBNDxA7W0r9rOeZYmq/MZBYY0WaNZRBm\n0oVSmsRMaWNW5ZPdAat4qRgoqonqs9TGZlLLHLklie5bhBn3oHiT9G624pj6T0xNO/HZ4KMazCkh\nxAIp5UnnQNjxc9/9Jk88ZZAe1kAxEJoEKZBIUA0wVNA1pDBJdFXlVeqNmAfFbaD3u+0YYuA/LW8R\n2bmi6E2ulQ8jM/WQbCuw0IrXWFzBKIF1lgK5WKuw1BUrPkmqCI/EiLvp2dyEUK3fQyZVlNIUCx94\nyX7fRFcQb1tzJgM2O/iov0n2QNjv4BwI+4GMeBIV4bamqnjiLobfWpDnPXp+vxo0iUxqoAKGanuC\nrCfJ6sKOf/e6jJjS8hbllxyh97kQisew08DGsAtpKBz/7nq0imGkAVpZEr3fWyBTCbc2UnH5YVvG\nUrHudTubZclmDhPeFmLeJW8x1L4EhEnw+n2Et4XAI9HmD6GfLmP+pw7l/e7TpYflTDKetPK/YQX4\nlUKIbuB/4BwIOy5aWiRfeMCaHbxoY744MavVghHvUblhr12tR7E++Y1MnaVq4x779a5KS6af9SwA\nwiUJXndgxCtsW4Vv5TFinQvRYy4Ul2k/3//qUivtm7bS0hWXHx5JCXvSaGVJau/aZf8eia4grsoo\nFZceYXD3Muq/8aKdPtbmRzGGSpEpgVaWzPv9p0sPy5lkPFmyvxnjKedA2BxyOxz98wyGExLTEFTf\nVtiAderXF9vy+9P/sRwz4UamVfq2hpAmVN+yh9gbNZz6v00IFbvvJHawltO7lmMMeOnZ3ETJol76\nWhsRQlK5Ib9rsvL6fUR2rqBywz56NjfZ1XmA+Ze/BUB0/yIC6zrx1EWslPCWEDKlFKSNsx4o2R1A\nKUnnvFbF7C/ji39vjUC698HVsHbvlM4NO9vMHtOfQnI7HAPLPZaGa+N+Tv3m4oKM1umXlyPcOr3P\nhYgfrS46TMKIeYi/XYPiMax24T800v3YVQB5W6nerVYXJYgPzGwVa/SyvMVSe/KLcOtIE1AlUlfo\n2WR5IK1imPK/tISS2Tiob3MTZkpl8VKTbz+cm/FyT/ncsLONkHLyElfNzc2yra1t0q53trHjkyMq\nWsUwFZe9SXjnhWAogCUsFB4dkMiky/ratESHildHcRkErzuQF4AnuoL0tTZiDo/I50+/fAFCMwte\ne3rXMob2LAFTUH1bW8H79GxqRvUl0aNuav6qveD5yM4V9tYr0RWk59kmypqsyZW1d+0i/EIDsYN1\ndsVeplSqFph8719noSEI0S6lbP6w1zniy49I1qvEm9tY9NVWSi98j/ALK5FxN8JlUn1rO8HrO1C9\nKctYXDpSF9anuADFZaD3lxLZsYLYwVr7fbPjUWVawVMX4XSmyDh6GHduRT5wzYGiYsnANQcIXncA\ntcTyaHnPtzbmyfA9dRFkWqPi0iN2Otp3wSkA1HkJqm9tZ9FXn0e5oo17H0xNq0OOJhNnS/YRye2b\njx2sJbp/EdW3ttOzqQnFZXDq15/Mk7D0v7o0M0bVSr/mBujh1kaS71WQOF5pNWp50pY8/9WlGANe\nS1I/SsM1sHtpXkVeKIxU3z1pgtd02oMoKm+whnrbjWAunbKmo/bzMJJaziqIszIXVKMgPmLtXh56\nuDlnCuXcwfEwEyBXan/sKPRsbqLrXzYQfmGlPcdLZLZZrmDMrr4PH15gz91yBWMF8vjShm5ihxcQ\nWNfJoq+0Un3LHhSPbg34dhkMvHo+ZWuOEm4d8SKjC5C+hhPU3v0KCJApV54xZKfA1N61i5pPv4Y0\nBdF9iwo8jnfZSXq3hkiHffRsbkKmFWS8+FSZrndmVzA/XubeR8RH5L77TX76pI7iTSNNL4pPz9du\ntTYSTWp2+jcdGbmhc+UouY9nib+5oHCc0U2WbsuIu9D7S6m49Eheu7DiKS7Rz6qAcynwGjqYUqWv\ntdEap+ROI5PWkRMypaJ6DO65S6X1RZOuruKFztmWLh4vjocZBy0tkp/8zER49ALvkfUSvoZuzMSI\nRCX3ZK1cb5D7eJZiRpTVbQXWHrK3Y76GE9TetYv6r2/Hv/pY0WkvRlLDTKp5j+d6DTPmxhWMU7nh\nder+4WXqv76dhQ/sBCGovrWdsqo0Tz+p8diPFI6+pfGrX6gMv7S6QBc2HUYeTQVz7yNiHOTWVIJV\nBqcHJCCo3LAfI+YhHfYX9MubCRXVn7A/jcsvOUK4tZHg+v24AtGij2e905g9JsFMj8m7FQXV+ej+\nRfguOGl5iQGrX0UpSRFcZ/XG2/FMJrulVcQxUyp4IHB1Z2H7sWbgbWsuSAVbX8/+dPF4cdLKo8it\nqehDVk3Ft6Kbwd3LCF7fwcCflmOmFYRmFkxylAYoHjNvir0RLQHVQPHo+FcdJ/7mgozi17qRVX8S\nI+pBeKzzVVwBqyFs+GBdXgXeen8VmbSq8+mwj/pvtAKZ+s4ro/r3t63C1AWBqw5ZBxhtb8RMaEhD\nQfHo+RNctoa45/NuHvvR3N1wjDet7HiYHFpaJH93j046bo1U1WMuykLHie5djHDpnH75QhS3gUxr\nVN3UVhBz9GxqpuKyA/Rta0QaSt5NeWrTmoKeld4tIYyYq6AhrHdrCE9thNLlJ0l0BQm3NhJYewjV\nlySyc4Utkkx0BfHURVB9Scy0MtLl6DLs9HV4WwjhMkAxCF5rZc5iB2ttD+Qq1bnnTnVOG8tEcAwm\nQ9azBG7aO5IGbl/C4O5lVq+HoSCA4HUH7Ap+7GAtA7uXWtuyQBSZVmw9leI28sYQab50XuHRNrJn\nm4rOL+55tonjj6zP03pls2O9W0NInbyeewBpWtuksuZ3MgG8VanXBzwopRLVl0QaAtWXxOvS+PEz\ncMcdrsn/x57BzMmPldGTWLIxS7auYqeBb7WOX1DcBorLtNPBrmCU/leX0r9ruZ0KDlzdieJLcWrT\nGqShELzugPX4uk76dy1H7x97XOpYj9d8+jVq79qVN9hb8aStQ1dLdfSoZ+SHTAXvkh7U8jgVl1rz\nx2put1LIJX6TL37ejbetecZMZ5muzDkPU2yy/b0Priba52bhRstrhF9caZ3HmJl0r/d7ydVrlV9y\nhPCLKylbczRPBu+pjZDoqsoTOmY7GnuebSo+62uMgF94rOp81c35W7XA1da2ylsfsWolBhhxN9r8\nIVKn5jP/ijfsIL5nU7M1cvWR0SNX59x/+xljzvzL5eu+dDw5/e6s3cvws828+3/WITQzbwBEuLUR\n4TZQS1P2je1rOEHf1lXEDtbha+gGuSCTOSv5QI/Rt21V/jn0meEVxdTBZWuOEjuw0DKK7PSVFd35\n566kNOq/vt2eXxxY14nqSzL80mp+9Yu5m8k6m8wJg8n1Krl9KX1bV+GqjOGp68MwJEITBd6htMHK\nkJVf/XpeOli4DXwN3QUDv3s2F/ckqj+BNESeR/I1dDN86Fz7gKJ0xG/HLNn5XiARnjRla47Zsvzs\ne7qCUSA7v9hFZHtoVrUDT0fmhMHkxidgGYK/0cp+pcN+9MESLHWxmucdIjsaiHbWATDw6vl4P3HK\nrnuAVaEffXJW2ZqjRccQgcQcLsmX528JWdJ6l1FQG8k2aMmUChJinXV46yMFc8RgZIyrmZoZw/Bm\nMnPiX7frHZWFGwuVvv7Vx0bqIm4dqY/IQGIHa4kdXpA/n2vbKiouf4N0xJpyX6xCn+0zsdO2lZkW\n3+3WGKLc/hMUk+rb2tGHPEWPjQhe+7o1sHtTE2ZSzfvZsqajdtq5b3sjwcDo39rhbDAnDKb+PIP4\nKKWvr6GbWOfC/NGlW0Oc+l0TQrO6HLWK4fzZXtfvo2dTE1p5AinlB0yBjLHgzj9y/JH11N61y/YW\nSGmLM7P1kOyZKEqpVVzMnnPvPseqr4RbGwle97pdwOz7fRMul2T40LkM/nmZdUqXtAbiOZx95kRa\n+dsP5+uh0mE/sc46W7aeNQh/43GUEsM+zTd43QH6dy23+1WyPSOBdZ0Er+lEpkTByVnhTJ9JnuAx\nc/CpTGnU3ffvduDuazjBuf/wMiCRupoRQlqGleyqJrJjhV2DyV7fTGo88WMXdZUehIC6Sg9P/Njl\nxCyTxJzwMFk91Gf/rhmpqwiXXvQYuWKq4WDOIafZWCHbvotqYMbclmcY9Oa3824JYQ5bEyKFarLw\ngZfp/smniicEfCkqrjxE5MWLkEkrIyZcelHNV/0nDO64Q8vpRZkT/4XThlnvYbJFys9+DjSXpObT\nr+Ff2V30MNQxVcNhvx0rSAmKx6Dm9tdY9OCLCJdB5Yb9VN7YgdBMwttD1tmOSY36b7RSe/crGFEr\nSTD/8sP0bVs1SmG8ivkZvZdQJOq8ONW3thO45vWi0yPnqkp4ujCrP55yxxwt3Dgytd7feBwpKQi0\nhWuMIqJmEH7+Ioy4hlqSxoiWZHRb1ulf2frKgjv/aCcH1NKU/fPZgXqqL4mpC1vzpfoTVFzxhl07\n+eJdKr/bJOzgvqzCwHylmXdPOSrhaYOUctL+NDU1yTPJM8+YcvHStBSK9fczz5h5z6klKYkwpVoW\nk2p5TCJMqZTGpfAk5bxLDkvhjUutIioRpvU3hlTLY7Lm9t1y0Ve3yZrbd0vFF7ceL4tJdd5w3nNq\n2bDElSx4H+GNy+D1e+zXCE9CgimFKy1RM38wpHCnpBCFa3eYfIA2OY57eMZ6mLEkLuAG4N4HU1Ru\nHJHo554E3Le9EXdljOC6Q4RfWGkf9aB40/gauvOKi/5GS5KPgMC6zrz4Jps1k2kVQ9dAgplSkWnN\nUgnn9KKUrzuIVmaNKvItP8n8qw7x7qPrMU3BLHf0s4oZE8OMFkw++LWRYqTdG792Lw89bOQVKvt3\nLUcoklO/uZiTT12GEfPYk+19DSeQaQ1PfQ/6kAdpCHu4XVY4Gd2/CO/5J8cc4i11jZq/arfOWEGi\nuA2QoJQmQUi8y97HiLsJbwtZ0vyrDhG4+mBOm6/DTGJGGEzuSKOF/9RKvLmN3pNq0Ru46x2Vrnes\nE4S7H/tUceXwkId0n5/YwVpLinLJUVR/iupb92DG3ER2rOD4I+ut7Njyk8QO1qGVDxc/ozEYtaX6\nWkUcM62CoaB6rT55/b0qrrpcpawqRWBdp11sdAL4mcmM2AsUk7ZoFcNjDmeIDsHpPy5HqJLK6wvT\nxOHnL0K4DEuVbEh6Nq9Bpqx+/Ozc4tz3FZ40g//vvDGHeEP+OY/ZIqP5SjM9J6x+k5YWp813NjAj\nDGa0tAWg/NI3M1X57FTJNJoQ/OIJlQe/ZqV6R49qhZEb2x86RuJYNXp/KSjWmSfJ7kDRnvtYZx2K\nR2f+pw7ZkhetYjivqGidRz9se5DBF0L87AcjHuSOO4RTO5kFfKz/OSHEdcD/xjqg4Qkp5XfOyKpG\nMVraAjD8Zg1KiVHQ2vuZz6iAyqK6iD2hpbBQmCRxtCbPKHq3hujZvIbqW/ZQ/peHbcNQ/QkrkDcU\nu923bJ6BLlS7gzHZHWDwhRAVHs0+ku6RHzgeZDbykWMYIYQK/AhYDzQAfyOEaDhTC4ORQL/rbZW+\n3zdxetcyu4iX6KoqGHVUdWMHSolub9ey3mL0wDoUs+DYuqobO8AU9GxuIrw9hJlwARIzrXHVFRpS\n15BSYKY0Bgc0fvYDT14H489+4KH3/Zl/JJ3DB/NxPMwngSNSyncAhBC/xjos9uCZWNjotHGyO0D4\nDyEG/7yUxZ8wC6T4kNFaJVzWWfOZomSut8iqfAf/XPyseQyNX/2CzIglF4uXGqOm04/gbLHmJh/n\nf/pc4N2c77uBi0e/SAhxD3APwKJFi8b95sUC/eANHfYRcG5f8cmPSknaSheb0LOpGQwryF7/t5In\nfm6diZLNeBVLGDg6LYcP4qynlaWUj0spm6WUzVVVVeP+ua53xk4bA9x9p3UA0egJj76G9wDreLr6\neuwtUuuLJoGN7QSuOoSRVAumRjppXofx8HE+Qt8DFuZ8X5d57IxQLNDPnelrzdFy88RTTaSHLYVv\nSX0v8686ZBtA7ulX2UybUKXdi5I9J3LxUifN6zA+Po6H+S9gmRBiiRDCDdyOdVjsGWF0D0sxL/DY\njxRSMRdSCn71c40aWT3mGKH68/LVyb6GEwSu7mTxUsMJ0h3Gz3gEZ2P9ATYAbwJvA9/6sNdPVHz5\nQeLKifLMM6Ysq0rkiSfLqhKO6NFBSjl+8eWcmq2cO2S8/jyDbz/sbMMcLJzZykVwUsEOH5cZIb50\ncJguTOqWTAjRC3R9zLepBPrOwHJm+hpgeqxjtqyhXkr5oXWPSTWYM4EQom08e83Zvobpso65tgZn\nS+bgMAEcg3FwmAAz0WAen+oFMD3WANNjHXNqDTMuhnFwmEpmoodxcJgyHINxcJgAM9ZghBBfEUJI\nIUTlFF3/X4UQbwgh9gshNgshKibx2tcJIQ4LIY4IIb45WdcdtYaFQoiXhRAHhRCdQogvTcU6MmtR\nhRB7hRDpvsJbAAAB2UlEQVR/ONvXmpEGI4RYCFwDHJ/CZewAVkopG7EEqP99Mi46Ga3h40QHviKl\nbAD+G3D/FK0D4EvAocm40Iw0GOB7wNexZ1ZOPlLKF6WUeubbP2P1A00Gdmu4lDIFZFvDJxUp5Ukp\n5Z7M10NYN+y5k70OIUQdcD3wxGRcb8YZjBDiZuA9KeW+qV5LDn8PtE7StYq1hk/6jZqLEGIxsBp4\nbQou/32sD09zMi42LSW7QoidwDlFnvoW8M9Y27EpXYeU8rnMa76FtT1pmYw1TTeEEH5gE/BlKeXg\nJF/7BqBHStkuhLhyMq45LQ1GSrmu2ONCiIuAJcA+IQRY26A9QohPSinfn6x15KznTuAGYK2cvILW\nWW0NnwhCCBeWsbRIKZ+dgiVcCtwkhNgAlADzhBDPSCk/c7YuOKMLl0KIY0CzlHLS1bKZIYaPAldI\nKXsn8boaVpJhLZah/Bfwt1LKzslaQ2YdAngaiEgpvzyZ1x5jPVcCX5VS3nA2rzPjYphpxA+BMmCH\nEKJDCPGTybhoJtHwj8ALWIH2byfbWDJcCnwWuCrz+3dkPulnNTPawzg4TDaOh3FwmACOwTg4TADH\nYBwcJoBjMA4OE8AxGAeHCeAYjIPDBHAMxsFhAvx/69o2wVo38GcAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbffd042e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import sys\n",
    "\n",
    "Ns = [10, 25, 50, 100, 1000, 10000]\n",
    "Ns = np.array(Ns)\n",
    "nb_epochs = [2000, 1000, 500, 200, 20, 2]\n",
    "nb_val_size = 1000\n",
    "nb_features = 1024\n",
    "Q = 1\n",
    "D = 1\n",
    "K_test = 20\n",
    "nb_reps = 3\n",
    "batch_size = 20\n",
    "l = 1e-4\n",
    "\n",
    "def gen_data(N):\n",
    "    sigma = 1e0  # ground truth\n",
    "    X = np.random.randn(N, Q)\n",
    "    w = 2.\n",
    "    b = 8.\n",
    "    Y = X.dot(w) + b + sigma * np.random.randn(N, D)\n",
    "    return X, Y\n",
    "\n",
    "import pylab\n",
    "%matplotlib inline\n",
    "\n",
    "X, Y = gen_data(10)\n",
    "pylab.figure(figsize=(3, 1.5))\n",
    "pylab.scatter(X[:, 0], Y[:, 0], edgecolor='b')\n",
    "pylab.savefig('data_10.pdf', bbox_inches='tight')\n",
    "pylab.show()\n",
    "\n",
    "X, Y = gen_data(10000)\n",
    "pylab.figure(figsize=(3, 1.5))\n",
    "pylab.scatter(X[:, 0], Y[:, 0], edgecolor='b')\n",
    "pylab.xlim([-5, 5])\n",
    "pylab.ylim([-2, 20])\n",
    "pylab.savefig('data_10000.pdf', bbox_inches='tight')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from tensorflow.python.layers.core import Dense\n",
    "\n",
    "def fit_model(nb_epoch, X, Y):\n",
    "    tf.reset_default_graph()\n",
    "    sess = tf.Session()\n",
    "    N = X.shape[0]\n",
    "    wd = l**2. / N\n",
    "    dd = 2. / N\n",
    "    inp = tf.placeholder(shape=(None, Q), dtype=tf.float32)\n",
    "    out = tf.placeholder(shape=(None, Q), dtype=tf.float32)\n",
    "    x = inp\n",
    "    for i in range(3):\n",
    "        x = ConcreteDropout(Dense(nb_features, activation=tf.nn.relu), weight_regularizer=wd,\n",
    "                            dropout_regularizer=dd, trainable=True)(x, training=True)\n",
    "        \n",
    "    mean = ConcreteDropout(Dense(D), weight_regularizer=wd,\n",
    "                           dropout_regularizer=dd, trainable=True)(x, training=True)\n",
    "    log_var = ConcreteDropout(Dense(D), weight_regularizer=wd,\n",
    "                              dropout_regularizer=dd, trainable=True)(x, training=True)\n",
    "    pred = tf.concat([mean, log_var], -1, name='main_output')\n",
    "    \n",
    "    def heteroscedastic_loss(true, pred):\n",
    "        mean = pred[:, :D]\n",
    "        log_var = pred[:, D:]\n",
    "        precision = tf.exp(-log_var)\n",
    "        reg_losses = tf.reduce_sum(tf.losses.get_regularization_losses())\n",
    "        return tf.reduce_sum(precision * (true - mean)**2. + log_var + reg_losses, -1)\n",
    "    \n",
    "    _loss = heteroscedastic_loss(out, pred)\n",
    "    opt = tf.train.AdamOptimizer().minimize(_loss)\n",
    "    assert len(tf.losses.get_regularization_losses()) == 5, print(len(tf.losses.get_regularization_losses()))  # a loss for each Concrete Dropout layer\n",
    "    \n",
    "    # init values\n",
    "    sess.run(tf.global_variables_initializer())\n",
    "    \n",
    "    _losses = []\n",
    "    for epoch in range(nb_epoch):\n",
    "        old_batch = 0\n",
    "        for batch in range(int(np.ceil(X.shape[0]/batch_size))):\n",
    "            batch = (batch + 1)\n",
    "            _x = X[old_batch: batch_size*batch]\n",
    "            _y = Y[old_batch: batch_size*batch]\n",
    "            _, loss = sess.run([opt, _loss], feed_dict={inp: _x, out: _y})\n",
    "            _losses.append(loss)\n",
    "            old_batch = batch_size*batch\n",
    "            \n",
    "    loss = _losses[-1]\n",
    "    \n",
    "    def model_predict(X_val):\n",
    "        _preds = None\n",
    "        old_batch = 0\n",
    "        for batch in range(int(np.ceil(X_val.shape[0]/batch_size))):\n",
    "            batch = (batch + 1)\n",
    "            _x = X_val[old_batch: batch_size * batch]\n",
    "            _pred = sess.run([pred], feed_dict={inp: _x})\n",
    "            old_batch = batch_size * batch          \n",
    "            _preds = _pred if _preds is None else np.concatenate([_preds, _pred], axis=1)\n",
    "        \n",
    "        return _preds\n",
    "    \n",
    "    return sess, model_predict, -0.5 * loss"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Eval"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def logsumexp(a):\n",
    "    a_max = a.max(axis=0)\n",
    "    return np.log(np.sum(np.exp(a - a_max), axis=0)) + a_max\n",
    "\n",
    "def test(Y_true, MC_samples):\n",
    "    \"\"\"\n",
    "    Estimate predictive log likelihood:\n",
    "    log p(y|x, D) = log int p(y|x, w) p(w|D) dw\n",
    "                 ~= log int p(y|x, w) q(w) dw\n",
    "                 ~= log 1/K sum p(y|x, w_k) with w_k sim q(w)\n",
    "                  = LogSumExp log p(y|x, w_k) - log K\n",
    "    :Y_true: a 2D array of size N x dim\n",
    "    :MC_samples: a 3D array of size samples K x N x 2*D\n",
    "    \"\"\"\n",
    "    assert len(MC_samples.shape) == 3\n",
    "    assert len(Y_true.shape) == 2\n",
    "    k = MC_samples.shape[0]\n",
    "    N = Y_true.shape[0]\n",
    "    mean = MC_samples[:, :, :D]  # K x N x D\n",
    "    logvar = MC_samples[:, :, D:]\n",
    "    test_ll = -0.5 * np.exp(-logvar) * (mean - Y_true[None])**2. - 0.5 * logvar - 0.5 * np.log(2 * np.pi)\n",
    "    test_ll = np.sum(np.sum(test_ll, -1), -1)\n",
    "    test_ll = logsumexp(test_ll) - np.log(k)\n",
    "    pppp = test_ll / N  # per point predictive probability\n",
    "    rmse = np.mean((np.mean(mean, 0) - Y_true)**2.)**0.5\n",
    "    return pppp, rmse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def plot(X_train, Y_train, X_val, Y_val, means):\n",
    "    indx = np.argsort(X_val[:, 0])\n",
    "    _, (ax1, ax2, ax3, ax4) = pylab.subplots(1, 4,figsize=(12, 1.5), sharex=True, sharey=True)\n",
    "    ax1.scatter(X_train[:, 0], Y_train[:, 0], c='y')\n",
    "    ax1.set_title('Train set')\n",
    "    ax2.plot(X_val[indx, 0], np.mean(means, 0)[indx, 0], color='skyblue', lw=3)\n",
    "    ax2.scatter(X_train[:, 0], Y_train[:, 0], c='y')\n",
    "    ax2.set_title('+Predictive mean')\n",
    "    for mean in means:\n",
    "        ax3.scatter(X_val[:, 0], mean[:, 0], c='b', alpha=0.2, lw=0)\n",
    "    ax3.plot(X_val[indx, 0], np.mean(means, 0)[indx, 0], color='skyblue', lw=3)\n",
    "    ax3.set_title('+MC samples on validation X')\n",
    "    ax4.scatter(X_val[:, 0], Y_val[:, 0], c='r', alpha=0.2, lw=0)\n",
    "    ax4.set_title('Validation set')\n",
    "    pylab.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Run experiment"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2000\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbfc03f860>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbffd16550>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nDcMwDMMwjKLl/wcBWBSnlyuoTAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6b09e898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 2000 - 1.60423201674 0.316877809078 [ 0.07415819  0.40364766  0.40347826  0.40335548  0.40377486]  -  1.02791594029 0.861922493692\n",
      "1000\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6b327630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe82016d8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe8281a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "25 1000 - 1.19316615281 0.0164542293493 [ 0.06994522  0.36166361  0.36148462  0.36145067  0.36191145]  -  1.0915614985 0.779587923162\n",
      "500\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngiAIgiCULf8fSXgtzXYtYPEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbffced748>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe82f7c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXl4HFeV9t9TvbdauyzJ8m55j504OwlLQraBQAgfMyyB\nQFhCYJj5yLAMMGRm4AMywAwM6zDEbElIAoQdAgQSHCdkw4kTE7zJi2zLsrVYW0utVu/3++PUdVW3\nepPUWlo6v+fpR91Vt6uuqk9VvXXuueeQUgqCIAiCIAiCsBAxZrsDgiAIgiAIgjBbiBgWBEEQBEEQ\nFiwihgVBEARBEIQFi4hhQRAEQRAEYcEiYlgQBEEQBEFYsIgYFgRBEARBEBYsIoZnASJyEFGIiJbP\ndl+EhQsRrSQiRURO8/PviOimSWxnuWnPjtL3UhCYTHudTxDRDiK62Xz/FiL6QzFtJ7EfOVdngIlc\nW6dq10T0cSL69lT6K4gYLgrz4qFfKSIas31+y0S3p5RKKqUCSqmO6ehvNojoZiLaMVP7E0oDER2z\n2VsPEd1JRIHp2JdS6pVKqbuK7NNVtu91mPacnI5+CcVj/jYxImrIWP68ecNdaVt2ERH9loiGiGiA\niHYS0Ttmus9COkqpe5VS15RiWzN1rhLREiIaJKKX2JYtM5ddXMp9zQRE9CARfSrL8uuJqHuiwrXY\na2sR/bqciDoztv0fSqlJPRxNB+Y96jOz3Y+JImK4CMyLR0ApFQDQAeA627J7M9vPR8+FMH0Q0SeJ\n6JN5mlxn2t55AC4A8K9ZtkFEJOfzAqAIezkK4AZb+y0A/BnbuATAdgCPAlgDoB7A3wN4Zan7K8x/\nlFInAXwUwLeJyGsuvgPA95RSf569nk2auwDcSESUsfytAO5VSiVmoU/CNCI3zxJARJ8hoh8R0Q+I\naAR8El1CRE+bXpcuIvoqEbnM9k67l4aI7jHX/46IRojoKSJalWNffiK6j4j6zW3v1F4gIqohou+Z\n++skok8RkWHeDL8O4KWmh7FvRg6MUFLMG87vAGwGzgyX3k5ETwAIA1hNRNVE9B3TBk6atukw2zuI\n6AtE1EdE7QBeZd9+5vArEb2biPabNrmPiM4jou8DWA7g16YtfcQ+zEdEbySiZzO2+wEi+pX53mP2\nocP0dH+TiHzZ/l8iejsRPUFEXzJtvZ2ILjWXnyCiXrINPebbNhHVEtEDRHTa9FY9QERLM/73T5v7\nGyGiP1CGd7WM+D6At9k+3wTg7ow2/wXgLqXU55VSfYrZpZR6Q7YNEtEaInqUiIKm/fzItu4r5u8x\nTES7iOiltnWfJKIfm9e4ESL6KxGtI6J/MX+/E0R0ja39DiL6rHldGyaiXxJRXY4+5bP1nP3Nsp3X\nENFe08Z2ENFG27pjRPRhInrB3NaPyBJ79m14zO9vti1bRDyq01jI/jK29XYietz2+WoiOmDu/+sA\nyLaulYi2E98P+ojoXiKqMdflPVfNNi1E9CvikYHDRPTujN/ufiK62/zt9hLRBbmOI4BvAegC8Anz\nvFyPLA/uZcIvwA+IdluuBfBqmOcSEb2KeMRl2LTjT+baGKWHwRS6Dr+DrOtuOxG9x1xeAb7+t5A1\nMt1i/k732L4/ZXs22+Y75zcQ0UOm3bQR0RvM5bcAeAuAj5j9+3Vxh3sOoJSS1wReAI4BuCpj2WcA\nxABcB37A8AG4EMDFAJwAVgM4COAfzfZOAArASvPzPQD6wF4/F4AfAbgnx/7/AXyi+gA4zO8EzHW/\nBvANsBeoCcAuAO8y190MYMdsHz95Zf1NPwngk4XsDcAyAHsBfNr8vAM8UnGWaVMuAD8He2QqADQC\n2AngPWb79wI4YG6nDsAjph06bdu72Xz/egAnTTsmsPdwRbZzAMBKvR3T9kYArLWtfwbAm8z3XwLw\nK3P/labNfjbH//52AAkA7zBt/TPm//s/ADwArjH3FSi0bfCN7W/N/lUC+DGAX9j2tQPAEQDrzHNr\nB4DPzbZtTNZeALQB2Gget04AK8zfaKV5DJIAXj6Bff4AwG3g65sXwEts6240j68TwIcAdAPw2voa\nAfA35vq7wZ7r20x7fTeAoxm/w0nwA18FgJ/CvBba7cz8nM/Wc/Y34/9aB2AUwNVmfz4C4DAAt+14\n7gTQYtrVfgDvzbGt7wK43fb5HwA8OAH70+fe2wE8br5vANv435n9+wD4nNBt15h99wBYBOAxAF/O\ndv3IcQwfA98zvAC2AjgN4IqM3+5asB19FsDTBeykFUAQwKDeTrm+wOL+27bP7wGw2/b5cgBbTBs7\nG0APgNfmOM7237fQdfhV5nEkAJeBHR3n2fbZmeV6oM+RUtpz1nMIfL6dAF+XnQDOBeuXTeb6OwF8\nZrZ/vwn/3rPdgXJ7ZV5czGWfAbC9wPc+DODH5vtsYvibtravAbAnx3ZuAfA4gC0Zy5cAGAPgsS17\nK4CHzPcihufoC4XFTQjAEIDj4BuXz1y3A8CnbG2bAET1enPZDQAeMd9vt1/4wGIy1wX79wBuzdOn\nfDfYewD8u/l+Lfhm7gdf3EcBtNq+ewlsYihjP28HcMj2eYu5nybbsn7wTXyi294KYND2eQeAf7V9\nfh9MITPXXkXYy1Vgj9xnAbwCwEP2a455rVAANkxgn3cD2AZgaRFtBwGcY+vrQ7Z115n27DA/V5p9\nqbH9Dp+ztd8EdjQ4kP7QVcjWi+ovgH8DcL/tswEW45fbjueNtvX/Cdu1OmNbVwE4Yvv8BIC3TcD+\nsonht8EmQE0779Rts2z3tQCez7QH22f7MVwGfiiqtK3/LIA7bb/dwxm/xViB4+kEC6zjMK8H5foC\n8BLwdVc/2D0B4AN52n8ZwJcyj3OW3zfvdTjLdn8B81qMwmK4lPac9RwC8EYAf8pYdgeAT5jv70QZ\nimEJkygdJ+wfzGGE3xAH2w8D+BT4KT8X3bb3YQC5JkndCeBhAPebQ4OfM4e8VoC9Az3m8MgQ2IPW\nNLl/R5hOzGFS/Tt9DMDH9GcieiCj+WuVUjVKqRVKqfcppcZs6+x2twLsDeiybfsOsNcMYG+Avf3x\nPF1cBvaUTob7YMWsvhnsAQuDPVd+ALts/XvQXJ6LHtv7MQBQSmUuCxTaNnF40R1EdNw8Hx8DUEPp\ns+qLPQdnnAnaC8ChEm8GC6vMEIlBACkAiyfQhY+AhdhOcwj2nba+fdgc1g2a/atG+rUu8/fqU9YE\nLm3L9mOdaaMujL92FrL1nP3NoAW280AplTL3v8TWpli7eASAn4guJg6B2wr2Xhdrf7n6d+Z4KFYb\nZz4TURMR/dC8FwyDH0SLDe9pATCglBqxLTuO/P+7l/LPifkY+AG1F+wAKluUUo+DPZ6vJaJWABeB\nr20AAPN3foQ49CUI9vgWc+zzXoeJ6JXEIZYDpl1fW+R29bZLZc+5zqEVAC62XX+GwKERzUX2cU4i\nE71Kh8r4fAeApwG8USkVIqIPg+ONprYTpWIwPUPEccUPgp/Et4MNu848AQr1T5hFlFJnbEHHmiml\nPjmZTdnenwB7yxpU9gkeXWCRq8mX2u8EeKiu0D6z8RCARUS0FSyKP2Au7wOLn7MUxz+XkkLb/hA4\nhvFipVS32bfnYYu/nMtM1F6UUseJ6Cj4RvqujHVhInoKPGz/SJH77waHNIA4Y8DDRPQYWFB/BMCV\nAPYqpVJENIipHddMG42Df1/78ry2nqu/SqnDGU1PgUccYLYlcz8Ttk+lVJKI7gfbfA+AB2xCc7L2\nl3bO2vqn+Q/w+bhFKTVARK8Fzw8506082z4FoI6IKm39XI5J/O9m3zYB+GdweKAbwONE9FOl1KHJ\nbG+OcDfYO78ewO8zHsTvAx/rVyqlIkT0ZRQnWnNeh4nIAw4NehuAXyql4kT0C1h2UujaW0p7znXO\nnwDwqFLq6lxfnei+5gLiGZ4+KsGxU6NmAPt7SrFRIrqCiDYTZw4YBt8oUkqpE+CZ4V8goiriiXNr\niOhl5ld7ACwlcxKfMP9QSnUB+AOAL9psoJWILjOb3A/g/US0lHgyyMfybO7bAD5MROcTs4aIVpjr\nesBx8Ln6EQfHRP4XOC7tIXN5ChyH9yUiagTOpGT6m0n/09Y+C227EiyWh4gnZH1iqvssA94Fjtsc\nzbLuIwDeTkT/TET1AEBE5xDRD7NtiIheT9aEr0HwDS8FPq4JcKypk4j+HUDVFPt9IxFtIiI/eETt\nJyojFVghW8/T30zuB/AqIrrSvDZ+CCyyn5xk3+8DDyO/BTYvIiZvf78BcBYRvc70yL4f6R64SnDY\nSZCIloDFqJ2c56p5z3gSwGeJyEtEZ4Nt5p5s7fNh3o++A+A/lVIHlFIvAPgqgG2mICtX7gaHv7wb\nnGHCTiXYsx4hoovAIzHFkO867AaP8J4GkCCiV4LDKDQ9AOqJqDrPtktiz3nOoQcArCOitxKRy3xd\nSNZEvbz3h7mKiOHp40PgWdwjYC9xztnME6QFwM/AQngvOGRCX3RvBAe37wMb749hXTgfAnAIHEZh\nHyYR5hdvA19QtQ38BNZw+LfAscB/AfAc2I6yopT6MYDbwbY1Ao5b07P6PwvgX80hslxDofeBbyI/\nzvDcfRQ8oeNpc1j3YbDXpRTk2/aXwRPj+sAjNg+WaJ9zFqXUEaXUsznWPQngCvPVTkQD4PjA3+bY\n3IUA/kxEIfAkxVuVUu1ge3oQPEH4OHjC1Ykc2yiW74PDwbrBE3fen6NdPlvP1d80lFJt4Ovm18C2\ncR04lWFsMh1XnEZsFHyd/p1t1aTsTynVB57M+jlw+MFacOyq5v+BUy4GwcI585wudK7eAI5vPQUO\n6fiEUurhYvqWwa3gMKX/tC37NPj+M2dy4E4UpdQxsJCsANuRnfcB+BRxBql/BwvRYsh5HTY99O83\ntzUIFti/sq0/AJ7Y1m7+pi0Z/S2lPWc9h8w+XgPgTWC76QbwebCIB/ihaJPZv19MYr+zApkBz4Ig\nCIIwqxAXBrpHKSUVtQRBmDHEMywIgiAIgiAsWEQMC4IgCIIgCAsWCZMQBEEQBEEQFiziGRYEQRAE\nQRAWLDOaZ7ihoUGtXLlyJncpzEN27drVp5TKV6ih5IjtClNF7FYoV8R2hXKlWNudUTG8cuVKPPts\n1kw/glA0RJSvctq0ILYrTBWxW6FcEdsVypVibVfCJARBEARBEIQFi4hhQRAEQRAEYcEyo2ESgiAI\ngiBMH8EgEA4Dfj9QnaNobzFtBGHOMAMGK2JYEARBEOYBR44AQ0PW55oaoLV14m0EYc4wQwYrYRKC\nIAiCUOYEg+maAeDPweDE2gjCnGEGDbagGCai7xJRLxHtsS37JBGdJKLd5uvakvdMEARBEAQAfP/v\n6sqtA8LhwsuLaSMIs0I2A59Bgy0mTOJOAF8HcHfG8i8ppb5Q8h4JgiAIgnCGfCPFOpwyHk//TigE\nRCLAIluGVb8/+/ZzLReEGSGXgc+gwRYUw0qpx4hoZcn3LAiCIAjCOOzzhYDsI8UdHcDJk0AsBgQC\n1veqq4HOTmBkBKisBE6fZqHc2srramrG6w6ZRCfMGpmhEKEQ0NcHuFzA8uUzZrBTmUD3j0T0NgDP\nAviQUmowWyMiugXALQCwfPnyKexOEGYWsV2hHBG7LW8ynWSxGL8iEcDrZeHb2Qns28c6wu0GmpqA\npUtZI3g8QCIB+HysGwDe3p49vLyujr3FAwP8fi6ZiNjuAiMYBI4eZQGsDXtkxFqvn+LmcDaJ/wXw\naQDK/PtFAO/M1lAptQ3ANgC44IIL1CT3JwgzjtiuUI6I3ZYv2eYLaa2gvcSGwaGVqRQLZIC9v4kE\n0NAAnDoFjI3x8hMn2Dvc1cXra2qAnh6gogK48MJ0r/FcQGx3AaGf+kIhNlTDYKPWeL3WZLnq6mkf\nvpiUGFZK9ej3RPQtAA+UrEeCIAiCsADJnBcUCrE+cLmsZfbQiNOn2ZEWjbIwbmhgoZtKcRu3G+jv\nB3p7gRUrePv61d0NNDen6w1BmBLFenDtT32BAAvho0f5vc+XbvDh8IwY56TEMBEtVkp1mR//D4A9\n+doLgiAIgpCfzHlB2vO7erX1WSng8GFgeJjF8qFDQDLJ60dHgePH2ftrGMD69bzcMIDGRsDhsLbd\n1QU4neyAmyG9IcxnJpIP2P7U19nJT2+BAHDwIA9lrF5tDWusWTO9/TYpKIaJ6AcALgfQQESdAD4B\n4HIi2goOkzgG4D3T2EdBEARBmPdkTnDzelkPAFbMcF0de3xTKWBwkDWD9vaOjPDnVIqF7p49wLJl\nwJYtwIED7HSrrQX27mURvXo1a43qamDx4tn7v4Uyx+7p1WlMQiEeqsj2lBWP8yS5RMKKEdbDIMEg\nP9HV1VnGn7mv7m5+39xcsqe4YrJJ3JBl8XdKsndBEARBEM7Q2sqZIo4fZ0/x8DCwezdrB6cTWLkS\n2LwZePhh4IknWBArxRPi4nEr7DIaBYjYA7x2LeuKsTFg1y5uW10NHDvG+9m4UUIlhCmgPb2ZE+Dc\nbuCSS9Lbag9yJMJPbtEoG3Z/PwtggA2/spKfDO3DFkeO8BOe3kdlJZ8MJQh6l3LMgiAIgjDDaAfX\n8DBQVcUCtb2dJ8ANDfFyIha7vb2sCSoqOGbY4wG2b+eY4WiUwyCUSp9/ZN9PJMIxw3/+M4dQELH2\nqKhgsfzXvwItLSKGhUni97Nnd2SEDVUHrMdi6U9ZwSAL5kiEha7TCezcyfE7Ph+fBF4vG6vfz+10\n7JD+rl1sj4zwslwe6AkgYlgQBEEQZohgkNOiHT3K4nd4mP+eOMFaYHiYR48rKlgjDA6y2CViwfv8\n87x+dJSFMGDFDGcjFmMPMAC88AILaD0pr6KC9UR7uxTeEKZAdTWL354ea4iiuprjgKurgVWr+O++\nfWzoGsPgJ8Fkkg3c603fblOTJXLDYX6CGxrifWmDjURKEvQuYlgQBEEQpgn7BPu+Po7d3bcPaGvj\n+/roKIdBhEKsIWIxFr0jIyxY9aQ5NYVEYx0d7F0eHrYEdCzGYRNjY9wP8QoLOcmWJSIY5MDzsTH2\n5C5ZwsYaj7Ph9vXxq7qa2+qE2QCL2lCIRXBzM3+3t5fFL8AietMmYOtWqw89PSykT57k7dfVcXuv\ntyRPciKGhUnT03Mv2ttvQzTaAY9nOVavvh1NTW+Z7W4JQkHEdoWZwD7BPhQC9u9nQXrwIE9iGxhg\nndDXN967G4+PL7E8WSIR9jJnhlGkUqxxjh2TmGEhC8EghzGMjAD19SxSdSWXhx7iYQaAxWhDAwtT\nnQBbz/g8cIDjesbG2MD277fSpESjfGKcfz6LYj35buPG9GowejhlYMAKkwiHedanrjYzRUQMC5Oi\np+detLXdglSKA+ej0eNoa7sFAERUCHOaUtluNJnCSCyFeq8DRDQtfRXKi8wyyjo8Mhhkp9a+fZzN\n4eBB1gijo6UTvPkgYi2i91W7JIn4GCE0YMAwOHb5ueeAl798+vsilAlHjnCQ+ZEj/NkwOLC8sZEN\nVwthgI2+rY3Fb3U1twU4xuf4cS55GImwVzcatZ7M/H42ziNH2Mvb18dhEwAHs2tP9M6d3MbpZI9w\nMsnifO3aklWMETEs5CSf96y9/bYzYkKTSoXR3n6biGFh1plu240lFe7YN4hwQuHlLX5c3CQBlwsd\nuxe4u5uFbzLJ9//RUdYC+/ezhhgYsKrEzQSplOUVXndpDDd9dRjJGPD1t9Rg6KQTHg8LdkE4M7Pz\nL3/hwHYdk6v/9vWxQTscVgq1YNAKVyDiF8BPX7W11raHhvhVVcWB7/E4e5r37OF9eb18cuzcyVki\nli7l/dgnzem44upqSziXABHDQlYKec+i0Y6s38u1XBBmisna7mC8Ar1jCTT6nFBKoW0ohlA8ha0N\nXjiNdM/vkeEYwgkO4nzkVBgXNfrEO7yA0WlWQyHg6ac5/PHwYXaMBYOsEY4d4886ZrdUkKGw6rw4\neo86Eeo34K1M4bxXRdHf6UDb4y4AhETCan/134dhGIDhBW74/Aj+5821qKmZsdoGwkxRqBpctny9\nu3dzbO7hw+zR1WELOuRhcJBDHrxeDkTXRj80xNkgNm1igepwWOI4HOa2LheHWXR1cVsdIN/Rwe+J\n2Ns7Osp9UoqFciTC+9Tb0rhc3O8SIWJYyEoh75nHsxzR6PFx3/N4lo9bJggzSS7bff7o/RgLX4e2\n6l74k3uwLvxOJKgarlQfhp2X4Ij/G3jhwBBeu7ISbgfhF8fYG/HwyVFc1OjDploPmv18yYwm02cz\nDUZTqPM6IMx/smmMcJhDIo4d49eJE5wirbubnVqJhBUmORle9IYxvOj1EdS2JLFvhwc//X8BLNsS\nx8n9Ttz8v8NYtiWBkT7C195ci6veO4qLXseKe/g04dE7/XjhDx6E+nnoeulZljJuXpNEIsG6Y/Pm\nyfdPmGMUqgaXLV/v2JgVvN7byyJXKWt4A+BQhpYWFqdDQyyctddYKSsAvrkZOOss/t6zz/JwSGUl\nC+QlS6xZm0qxcNZ5h3XgvNPJwfUdHZzyBOCntZ4eK23bueeWNMhdxLCQlUKe39Wrb0/zvgGAYfix\nevXtM9I/QchFNttVAP7i/l+oIZ7NHHZsxu7KnVm/r0WwnZ29Y9jZO4aLGn04t8GLB0+E0ta3j8RQ\n5/VNvfPCnCaXxojHWVeEQjzKq4tklMILvPzsOK7/2OiZz1tfGcXWV47fcGWDwsf/MJC2rGqRwnX/\nPIpX/N9R3HlrFaobxycirlqURH+/Ax0d6XOWhDLFXg1OMzRkzZAMBjlg/eBBFqU+H4dEDA6yQRuG\n5bXVGSFGRliU6uoubW28LJWyKr14PCx6YzEWyIsWsRDu7LSWNTYCL3uZNZO0ooL3Fw5zv1wu3g7A\nJ8+iRTxJzjC47fr1LJqbmtIzTZQAEcMLlEKz6Qt5fu3xl9m2IbP1hemikG1Fva/EQcc/IZB8Hg3x\n+zHguhaLYj+GIveU972zdwx/6Rvv4js6HMMFi0QMz2cyNUZ3N2uC3l7WE5EIi+Df/z49xHEiXHrD\nGC64PoId3/XD5VOobEihuTVR+IsFcHmBt/33CDwV4/Ozrb0kjr59DuzbJ2J4XhAOZ1/e3c3r9uzh\nmNxDh6xCGYkED3Vowaw9vrGYJXobGlisPvccC2eHg4WwTngdCrHnV+cNfvhhPjm0t9fn4+309LCw\n9futuuFEvC0tjnV+QbebPcpLl/L2m5tLWoLZjojhBUgxs+mL8fw2Nb0lq8CVTBPCdJHLtpQCmpre\nDCLCPt+3EE25Meo8Fz2edwIABlyvndJ+a5whDCUCvM/UeEHREYojmVJwGBI3PF8Jh/l+3NfHFdvi\ncV722GNWWOSBAxMXwkQKShHc/hSu+2f2AN/wuUmq6Qz2bndjw8ticDiRVQgDwNoXxfD0C94zoZpC\nmZMt525bG3tcEwl+397OonR01Eppoj2yQ0NWpRcdC6RTkQwOco7gSISF8cgIC2ilrLLKp09zbHB/\nP58sFRW8jUSC97lkCbBsGb9XirNDRKP8nRUreMLd2BiL6KVL+QXw+qqqacv/J2J4gWD3pgEGgPSk\nlpmz6Zua3oJg8AmcOrXNbOtAc/NNRYlZyTQhlJJCthtLOfGjk+uR6h3A2mo3oqnxHuCoMXmX15aR\nK5HwvAhD7twhQPEU0Dkax4rKqXufhblJTw+P+p46xXOLiHhZKMROt8HBiccFr7s0hjd/fgThYcJY\nsPQPUvd8uApv/vwwtlwdy9lmzYvi+Ot9CnV18iA3L6iu5nAHPYzR1saT1gB+Yuvrsya/AWy4sRgL\nzWiUBe7AAG8jkeBwBpeLjTwW43UAC99QiL+jJw/rdX19LHgNg/fj9XL7VIr3s349i2u9H7ebhyVW\nrWLxnEhwvxoa0v+3aSyTKGJ4HpI5jFxffy26u++yCdTstTvtsZY9Pfeiu/suW9skurvvQnX1iwsK\nWsk0IUyWYm1XAYgYrfCkjuPZajMPZlJhz0BxQZoGAfUeB05H0s8FUlFsGH0j9gd+cWaZP7UHaqwN\nPv9/YCwx3ru2yOvARY0+NPrkcjpfCQat1GNDQ+y4OnaMhbGebF8sDpdCTXMK/ScMvOPrwwDYa1u7\nuLjvj/QTKuvH2+G+R904fcyBy27inG0dL7A9Pv0Tb04x/MR9Xhx6yo0qP49GC/OE1lYrW4TXyz/u\n889z2MLp0yxidWoz/Rod5fUjI2zgOlRBT1hzOKwqcokEC9tk0srZ53Lx95xO3lYwyN8jYq+znkDX\n1MTfb2riZYEAe4uHhlgYB3gEDj6f9R7gddNYFUau3mVEMXG42YaRT536Jlg+5MeeCWIq3l3JNCFk\nUmrb7fB+El2ef5hUXzbVenD10gq4DMIX/tJ/ZrmDgLNi74c/+QQWxX6AQedVWBm5DYQUvJ5mbKzx\n4DlbvPCtW+oAAD6nMal+CHMfnTlieJidXfqvDpuc6AQ5h0vh/T8cQuOq7A6JQvz43wP4y4MeLDs7\ngfd820oM/NeH3fjNFyugFLD+0hjIAO77GKvb9mdcadvY80c3HvhiBYZ7DagUoaICWLnSyrIlzBOq\nq9l4PR6eIHfoEItbLVR1qIPTaYlcPbyRTLIo1jmDk0mrlLLOMJFKWe91zmHD4PYVFSxmW1q43fLl\nnDbN5WLvrtNpPX0tWcKid+lS9gTbU7UUSg9XQkQMlwnFxuFmE7HFCGEASCZD6Om5d8p5hCXThGCn\nVLY7apwFQhJDzisnLYQBoNZjnBGwHzi7Dn/qCqPe68DWei96e1+HtrYH0Tr2/jPtte36an3YNxhF\nJKlwabNPRPA8x5454vnngV27gMcf58nxw8PjSxvnwnAorDo/jt5257hsDxPlVJsTyQTh2HMu/M+N\n1Tj3VVHs2e7G0V1WeM5X3lib8S3C/f8WwBs+HUIyAez4rg/Bbk4D6HazPolGrZF0YR5x+DBXf+nu\ntoY2QiH2BCcS7Mm1i92xMZzJtafMa69SlvDV7wEWvobtGqjXJ5MsjBsaWADX1QEvehF7hYeGWGR7\nvbze4WAPsV3s2kVvdfWM1QgvKIaJ6LsAXg2gVym12VxWB+BHAFYCOAbgDUqpwenrplCsp3ZioQgE\nu9hIJPr0gA+oAAAgAElEQVTPiJSpeHcLZZoQFhbF2+54e1MABp2vwMGK7096/xWJ51GVfBJd7r8H\nkYENNZ4z6zwOA1cttYbiCtnuuzbUYCiWwpIK8SPMZ+xFNPbuBZ56il/HjlmT4wvhcCm87l9DOO+6\nyedXe+I+L5rWJLHmoji6DjnQc8TKZd25z4XOfa4837bY8wcvhk46EB0l9LRbtutw8MvlYmEslBn5\nPKd/+hN7hPv6+MdNJNiodUhEPJ4udHV2iESW7CWxmOX11eKZyMoEYT8pDMOqTHfRRZxKTa8PBLIL\n4DlAMVf0OwF8HcDdtmUfA/BHpdTniOhj5uePlr57gqZYT63DUYdksj9rWzuG4Ydh+JBIpLfVImWq\n3t1cmSaEhUcxttvTcy/sD2cKwIDzNThU8Z0p73/L6DUwDD8uXbYFixtfi4Arv0c3n+1Wuh2odEtx\njXIms/AWkL+Ixp13spe42CwRLq/CFTeHcfk7p1Zv+cgzLjzwhQAAhZYNSfQedUClJj7JzeXiEeuh\n4yycHQ7WPw7TjJ1OTue6YsWUuivMNPahi1CIBevy5fxjt7UBTz7JE9QiEf7BEwkeAohE+L0OddCv\nQjE/qRQLXy2KDcMS2dqYlOJ1Lpe1j1WreN0MhTtMloJiWCn1GBGtzFh8PYDLzfd3AdgBEcPTSvGe\n2uwG7XAE4HTWp3m79u9/a9a20WiHeHeFklGM7ba33wb7KMUR3/+gz/2GKe/bmzwEj2eFabuvm/L2\nhPIhm9Ns924OeRge5vv38DCva27mUdulS3nuUX8/a4l77+U5RfF4cft0eRU+9WRhZ0Qx7HtEu2oJ\npw6Mv1UTWSPZ+dAT9YnYIeh2WxVv/X7+3zdv5toGwhzEbsgAv4/HLSHc2cm5g3t7LSHa389CWIck\ntLdbQe6jo5YnWIvkiaBjhD0ezgwRDqd7i3UIxJIlVhaK9evnrAjWTHasr0kppSOMugE05WpIRLcA\nuAUAlktG70lTjKe2p+deJJOhbF9HMjmKl7403bXBQjd/YY2FLH7FdktDMbar7TAFJ3ZWTyx4sTb+\nWyyK3YdmRxvqNh5Ax0gcg9Ek4imFa5ZdiEbfsZL8H+WC2G32SnEjI1xrYP9+1henT/PL7wfWrWMh\nXFXFy/bvZzE8kTja2iVJfOTXE4sW/M1/+3HoaTf6T3AWiJrFSdQvS2Ko24E//8Q7rr3DwXrD4eB+\nj45a2sTvZweh1iQAe31ra9nru2wZH5PDh/n/1+sWLeJKt9pLPpuI7WagDTkUYkHr8bCw7OtjD29N\nDef7e+45frKLRtkYdBW5SIQ9xj091sQ4e0xwsYHvgOUNBth4PB4Oe6ipsbzNiQRPjGtqYkFcRrE3\nUw58U0opIsr5fKqU2gZgGwBccMEFxc3kWgBMtEJbMZ5a9q5lJ1usr0x0y4/YbnZKbbuxpMKA85U4\nWHF3zm1kRSVw3shWuFUPDMOP1rXb0FTjSYsJXogsFLvNFS6ZrRptZyc7y44dY+3Q3c1t9Mjw0aM8\nuhwO87KBAWvyfD4qG5I45xVRvOqDOap+5eCxu3148Kv+tLCHP27Ln0O1upr7CPCcJLebNc7YGOuf\n5mYW8nqelNPJbWpqgIsvBi6/nCcB6jlO8Tg77rxeYMOGueG4Wyi2WxTakJ9/nhNbj41ZP9KSJbzs\nySf5CU8bQjzOglUHguv44LGx8WEQxQa/a5xO3q7TyS8dLtHczFkjhof5xHK5rIlzTU1z4ymrCCYr\nhnuIaLFSqouIFgPoLWWn5jvZZtfv338jDh68FevWfSWnsMj01Pb03Iunnlp5RmBk8/JqtMDNFDLN\nzTehv/+3EgohFEWpbbcreRYOVtwFTFAIb3X/ClXDn0JM9drCIMRuy5mODhahdXWFywJn8/y2tvJ7\nXY02FLIcVl1dPJ9oxw4WxpkOMR0PXGzoAQC8+1tDWH3+xEslf/Od1Ti+u7iJbxq3m724Ph/roHe9\ni/+f555jke/x8EuPpKdSVgGxdeuA664Dtm4FGhtZEx0/bh2bhgY+fsIco7sbeOABTokWibBhV1Za\nleL+8hcOj+joYGPXIQ/a6+tysUHrDBFTJZXiJyePh9/rJ6lAgEXveedx4u1olONu1q7l4Za58JRV\nBJMVw78CcBOAz5l/f1myHi0AsqeQApLJ/pxliwsVI2AhnJ4dQuNw1KOp6S1ZhUx3911Yv36bCAmh\nKCZqu9m8yACwv+3/4qD3CxjwvmZC+69MPIFlkc/Br15Aq9ht2ZLp1d2+ne+jmpYW4IorrHbaixmP\n871dT4CLRPh+HAoBJ06wMOztZfFbX88a4MgRLp984ACPLuejGCHcsDyJD/1i4smTdv/Wg19/oQLh\noYml5PN6OQ9wayuHM7z85bx8+XJ+IGhosOojOBxWelbD4ON4880shAF20uksV6EQ65j6ev5+MFg2\numX+og2+p4cnwe3ezUYdDrMnd3CQf6TDh4GTJ9nYg0E+KYD0QhiGYQnjYp/wckGUvm2dfqS+nnMK\nezwcb2M3tObmsjKoYlKr/QA8Wa6BiDoBfAIsgu8noncBOA5g6jNdFhD50p9lSzlVfDEChUxBbBh+\nrFv3FQBSJlmYOhOx3Uy7jUQ78Wj7o2j3/gdQeXBC+22JfBnLordDDyqnALHbMiXTqxsO871dF7ry\n+6241ro6btvTwzqgtpYFcW8vt12xgtcdOsTLjh5lkedysRB0uVgwHzlSWAjnI1CXwhXvDuOSN06w\n3jKAr95Qg662yfmddG2Cs88Grr+evcIAC38i1hoeD49QK8XH0uFgjVJZCZxzjqVPAG6vNUx9PS/T\nRcDC4bLSLvOP3bvZmHUp4o4ONt6REfa26vy9hw+z+O3p4RCIaNSqCGcf8phoGEQhdOiFy8XvAwEr\n8FwLZcCahVpmFJNN4oYcq64scV8WDE5n3biUZnYyBcfECmkoeDwrsoY9SJlkYapMxHYz7bbb/S4c\n904sHv3lLX4Mtm2BN9Wed1/C3MXu3R0b43u5Ll/c0AA88QQP2+uqrXp4/8QJ1gTt7ex0cjj4fquF\nn8fDIQ9dXez1HRpiQR2P8z26v5+3E49PvaDEh34xCG9gYt61uz9QifZdLkRDkyvOovXGpk3sZNOh\nHPbSz4EAa5HRUct5ODTEyysqOIb48OH0TBGbNvFx0l51XfHWnz9kWZhOdu/mkAfACmbXT3XajR8K\n8fLhYatghh4SyBTCpcYw2KBqa/kvkRVfU1PDfXSUd8pJyRw/w/T03ItEYjhvm8zJbvligcd/dwUu\nueRY2v50XDFgABj/tChlkoViYNsdytvGbkvR6HGk4MRx7+3o8bxzwvs7L3ojxvb/AV5kFxNit6Wh\nlBVPM7elnV39/XyvPnKExS3ADqSxMf7c1WXl/vf5+LsDA7x8dNRKaep0srjVGRSSSUsg68nsGoeD\n9ztZB1lFTQr/un1yFeM+8ZI6xMKTr1BoGPy/VlTw8Tx6lDNdxOOsO3ToJhHro7o66wGgoiL9d7RP\nqtO/zdKl42OuxSs8jeQ7yTo6eGbjwIA1K/LECf5Bg0E+MU6f5qcXpfgHj0ZLFwJRCCLuV0WF9eSk\nK8PV1PDQQkuLVVZ5aKgsY25EDM8wnPEhd9JKIneWbA7ZY4EzyZZqLT1bxPi7gmSPEIrl0KFboW0o\ngSr0u65H3GiCN9WO+vjPYNhsN55S2FPxG4ScFxW9/fMrDyLh3oJE5ACqul8OlTKToYrdThv5JqJN\ndVuHDvE9XU9k18K3t5cdWtpDHA5bGaASCWuyejBoVYlNJsff+3UxLCC7Uyy7CFZoak1i7Yvi8FQo\n7H/MPS6Hb83iJD76m4nFBH//Q5W49E0R/OluH9qeKE06KYeD/9dQiB8KGhqsOUyRCAvgxkZ2KJ4+\nzdqjqckaTa+psby9+/alZ7mqqeH44zleB2F+kO8kO3IEeOwxPjGOHuVg+HicjV9nhtAeYG3suojG\ndKMNxuPhmJrm5vQTtLKSX/G4FWujKcOYGxHDJaLYdFOFhnYNozIt5jKzGEEmHBJxHIDjTMwmwJOY\nck12AhwAUpI9QphQmrREoh8KhP0VP8aw87K0dYdxB1ypXpxdsx6j8RS+tmcAmIAQfnFoA9a1fAVN\nTZfiqadej+gZIWxH7LaUZEtBNlmnTua22tqARx5hj21Xl1XkIpXidkpZGZ/saVF1Ht1wmO+7hmF5\njDOZqFOscVUCH/hp+j981Xv5+vjgV/3Y9WsvlmxM4O1fzT9yZ2fH93z4/dcqAAD7HildSr9Uygpl\n0LpHp3gNhVgYb9jAQtjl4uOgC37ph4uKCtYoAwPWJDmdQaKvj78nqXyngcwiGblOMoDje06ftoph\n9PVZ8TCplBVbBFg/8nQLYZ2aze22KrY0NnKial3CORDgynJ+PxtSZjqSMoy5ETFcArJNcMuVFaJQ\nCrRkst8sTYtxOYCzkZkr2L7v3MI7hcsvn4EnS2FOMxG71Qw4rxsnhDVxoxF37JuYR21j6HpUJZ9E\nEhC7nWHCOS4t2qmTL49vtvLFmlCIJ7p3drLjKxhMF3VerxXyqJT1N5uXt5RzgP7+zmDOda94fxiv\neH/xuYJ3/86DB7/qR7Bn+uIk9TGKRlnY6jSxSrFGeeEFfkWjVj2EeJxDJXT2jSVLeL0WzSMj6Tot\nHi/LuU5zk2CQXfA6QXUkwj9KXd34tuEwJ73et49PllOn+KlxaIjXKWUJT/v7Uk+K0+hQCMPgl8vF\nHmEthq+5hlOa6Go1DgeL4eZmPtEjEcszXKYxNyKGS0CuLA3799+E/fvfeiYVGufzLRz/29Z2C4h8\nBYWw01mfN0NE8SWchYVILts5dOjWcWn8+vt/CwA4VPGdKe/XUKPYOnIJ3Cp9VpPY7cySy3nj9+ce\n2c213L6tSIQnvulqsGNj6VVfdTgEkC58pzv00Vs59R0cetqF775v5m70OjwkGLQeLJYt4xDTU6f4\nFYvxqHVrK+sSLYRHRjgVrfa269jqxkbejttt5RkuQ+0ytzhyhA/+iRMc8wtwzEo4zOJx/XpeppNf\nx2KcJHrXLhbBIyMcP6SrxI2NWaUEtUfYmHwMek50EQ0ifuJyOtl4dMWW6mpOY3LZZdbMzFSKhxx0\nMY2lS3mGq8tV1jE3IoZLQG5PVtJcfxynTv1v0dtjgZJfCBO5sXbtV7B//1tz9mnjxu9LhTkhJ7ns\nNpHoP5Mxwm67KUxtGPjC4EooGHAaTkBl9yCL3c4cev5LprgFso/sdnTkD6vQ29ITy/v7+d6vR3a1\n2NXOrZkIe9SsOi/3PI1CPHyHD4982w9flcLoIBX+QonR1eL6+62MWlVVrJ9CIcsjfOxYeoYIt5vF\nb0cHC97ubt7Gnj38WxmG5Yh8/etn/N+aHwSDfGC7u60AeD1Mol3w0Siv7+3lHyqV4h9v+3YrqD4W\ns1KuxGLp5Q8dDiuAvNQ4nTxj1evlp6TVq62a5LW17A1uauK2Osi8ujrdQ11TMy/ibUQMl4BCoQ+l\n359VcYs9eNm9aMWUcBYWLhO1253VnZPaT3V8OzaE3wxC8oztit3ODVpbx4c95EpDNpAjsYK+P9q3\ntW8f31+dTisEQns5dS2AiVR7mwpVi5K45du5QyTycc+HK7F3Oz8EzoYQ1sfJ42FnnPb4ak+7YfBx\n9Xj4s65Cl0iwrtK1Evr6WAj39PDySIRDKCorrZS280DPzCx6mKSvj8WjYfAJMDLCP1Qsxj9GMgns\n3cttkkl+SunstJJr65LJsVj2FGlaeJY6dZkW2T4f//hXXsnlCoeG+CkKYI9vc7NV3WXxYn6VMgXN\nHEHEcAnIjNudPggbN34/TRRk27fdi5ZZBlcQNBOx2yO+L41btmrsw2iM3YXDvm+i3/2349avHX0H\n6hMPmJ8IGzfek2aLYrdzA50lSZMrfKKuju/nmdjb622tWcP31bExvo+mUuwgS6VYIOvJXqmUJYqn\ny1P8L78fPwrx8QvqUVmfyroOAP7tRfVIxGZe/GbD5WLRqlPLeb2sv/QcJ51qbvVqFrb6oUNP/G9s\n5LBUXTNBKdZdXV2sa/x+ftARMTwB7DNGvV7+q2eK6glwfj9/1pVgBgetiXLBIP+IulRyMbHAU40X\ntodZELFxOBzcz1WreHhg61bg2WeBgwf5RNahEEB6hojMi8Y8QMRwDiYyy76p6S0IBp/IURWulKhx\nfRAvmpBJsbarlx08eCuSSQ6LGDU2Q8FAIPUCFBxIIoBe94047b4x7buViafQFLsLALB27L1YO/Ze\nkOGHyims021X7Hbukit8YvlyFl7F5KcNBDi21elkDaBjiMfGeBvxOGuAWIxDFUdHpyaGHS6F1efH\n0XXQidAAweUF/DUp3PrD8Xmxt727CipFGD7twL+c12Au1dU7ZxZ7xdxMdDU+XetAh3P6fNYxC4f5\nuPl8LJgdDsvzaxi8PBDgkW/9INLba4WtRKPsLX7Zy2b8Xy9v7DNGAwE+2OGwlQwa4BOlu5vF8eio\nJYYHB60iGtM1Ic6OFr16hqoWwjo2uLISePGLrVKFa9dabe2UYYaIiSBiOAvZZtnv338jDh68FevW\nfWVc6jOroEVphLDTWZ+1ypfHsyJre/GiCZpibLen514cMe3W61kOEKBgYGdVJxS5itrPWaOvGbds\nw/ptecIfxtuu2O3cJVv4RL7ldo4cYSHX0MCe5EWLWBifOsXpVEMhy3Pp9VrCuHjswlWheW0St/4o\nfzEYO0d3ZcsDPDNC2O+3CmboEAedFzgcZg2iR8MrKjiUwe/nhw49ql1dzcezo4Odi1o0+3ysZ0ZH\n+cEjEOD0a3V17Oxzmnd7nbauro71UGaRDqEItDDUE+K8XktArl7NscCdnVboxPAwi+CREWsC3UwI\nYf0DezyWoQFWxghtXEuXWt/J9TQ8z41ExHAWcuXnTSb7z6R/AjKHeXMbtpULuDA6plImEAmTwW67\nEVoGpwoi7DgLQedlONX+JOr7RxAb+B4O+H6GmHdy46JrwzePW+bxrDgjbMV25we5RkLzjZDaR4+v\nvZbvsUeP8jycjg4r3/DQEN+fBwfTywsDAJFCw8okwkMGVmyNY/mWBE4fc2BshOByA2/67Mik/6fb\nLqqf9HengtPJ4nPlSj52DQ18rHTBroEBFrY6hNQw2Bu8eDFw9dWcjKCtjZ14Ph/w9NP8/cpKq3z1\nsmU8Uq/Tvur44le8gvf91FMcLrF2LW9Dh7I0N5dljYSZx15X3OXipzudL7i/n59CVq7kNrokotfL\nT372lGm6ksx0or2/VVVsbD4fD8uMjlpp2nQxjU2b2NjsCcaLeeqdZ4gYzkK+whj2whbFxQg78k4Y\nsqNFgwwhC5MlYtruEd/X0ed+47j1R6MAKv5uSvuoj/8y7XNmrC8gtrtQ0aPH3d2c1iuR4Pvt2Bg7\ny0ZGrHRgmeWTAQXDAdz+zPhRsVIw0GkglSidB1hXwNOlk/X8J71OFxNxu62J+atWceXaujp+OKiq\n4vbHjrEXOBhkZ6PDwZ/XrgUuvJA9vps2saYKhdj7Ho2yrnE6rfDOkyetvgCsxaqrgSuuYPG7dy+L\n7uXL0wuGzfMR8KmjU6e1t/NB1ynGDIMN3OdjYw6H+UcYGeF1vb38g6VSLIJ14Px0oQ1Se4T1BLhY\njJ+sKiqs+twVFTx0cM01/P9kPhHNw7jgfIgYzkKhWfaFqsilk0Rb2y2oqrrE/J4VSkHkhmFUIpkc\nGCca7EPIOhxD5ywWcSFk44HjI9hT3Tut+9gYep35jkuE2zObaLTt2u22vf02sdsFgN8PPPMMD8t3\ndVmpv5YuBf78Z9YJmcU+qhYl8c5vDKOpdXqHjf/rNbVT+n51NWsGnd1B6yAt7HW9gmCQPyvFntuG\nBhayV13Fy3t7WaMsXszHIhbj7FU9PayXdGKCxkbgrLP42Gldop11hgHs38/HU4c8xGLsQQ4E+LgH\nAty/7m7+7vLl/MqWK3oBaZ7iyKwit2cP/0A9PTyUMTYGrDBDv8JhFrk6ULuigl+HDvHQh/7BPB5u\nN7GYoMJoAayfwDwefr90Kb90vuPGRjaAWIyFfVMTsHmzFSKxwJ+IRAxnYfXq27F//zsAZM9N6XDU\nIZkcQr7QCDupVBhDQ9uRHlNMWLz4XVi37ht5vzuZKmHCwmM0nsKegei0bd+X3I/14ZvgTR2F01mP\ntWu/ktf+xG7Lh1KOhgaDPBG9q4tF3cAAC7zjx3lZZkgEAGy5JjatQvjpH3vxq89VYKJxwVr01tZy\nzYE1a6zqs243C82aGv7f+vpY/C5ebCUJSKX4uzU1wLnnWtv1eNhjq49FUxPrkVOnrEIYkQh7jS+6\nKLuzbvFiFto9PVbWiHCYR8EB7lsuFuAI+MTIfFrQ1WN0Cg7t6T16lD3CkQiLXF2V7fRpFs9dXZbw\n1XXFdVGNUqEnwmmj0sMRPh8PRVx4IT95xeP8t7qa2w0N8f+kDUWeiBaWGJ5IhggiypED04VUagTZ\nhLBh+POETmRuTJ2p6pWPfBXmRFQsHDJtt27Zl9G06DpUuw1Ekgpf25MjCewk2By6Gil4UJHcg6Dz\npahM7oRLWdt3OAIFbU/stjzIVVFushw/zvfnQIC1gE67qksJk6GwfEsC3YcdiI0Rtr4yild/aHRq\n/4TJyf0O/OL2AMLDBlJJoGl1Eof/7EIyR2hEba3lUdWONZfLypTl83FIwxveAGzcyMJTF7TQxykY\nBM47zwojzfY3Mx2dvWCXbuf3A+efPzGRunXreAfmjh1WZi8gvVCYnQU2Al489qB3ja5h3dPDbn2A\nnzoiERbKkYglSI8f5/igYJDFr54op9OG6KpyQOEk2/kScesYHa+Xf+S6OiudSFMTi9zWVjYSr9fy\n/ur/LRCw2soTEYAFJIYn4qlqb78NSmULcHfA6azKmukBAIh8cDp9OddnUky4Ra42EwvVEMqZTNvt\nTq7Bo6dfApzOniO1EL7kASSoBpXJZ+FQQdTFf41mx2Ekk6FxtluXeHDc98Vu5wfZ7vv2inKTQU8G\nGxtjMdzXl77+df8WwgXXT34Eo+uQAy63wrHdLiTjhEfv9GHwVPZiBENduYsUtLQAf/u3PNL9N3/D\n2sHvBx57jPWMLmzR2gq86U38nWxCtRhRmS0dXa6cvhMVqZntN2/mEXCd4ECHWAhFkhnDA7BxdHXx\nE53bbWWQcDisCXVE/NQzMsI/to6TAdIFsE4hUky1GR3+oCvVANb33G5+VVVx9goifuppaWGBu3Ej\n58vLNFgZEsjJlMQwER0DoN2kCaXUBaXo1HQwEU9V7ht2ColEbg8c52p1gcidQ0yn4/EUns2fK365\nmO8K8wNtuyHHOTjtejN6PO8s+rvrRt+GusTvMGa0ImqsQFXiMRgYH7MWTQDF2q7DUVdwv2K3c59s\n9329fDL3ye3bWTMMDXFxrZ4ea93510eweG2iaCHc12Fg283VGOkz0HpRHKODBroPlcZ3U1kJfPzj\nVrik3RN+3XU8sW1ggJ1tdtE6WW/qTIYltLZyjLLonUmSLW42EOC0GyMjHBqhFBuHfurTuYP7+63S\ngPbwCCB90pwWtHaBmymOdQC6LsOs8+Lp/HqBAP/QTU0cC9zYyE92K1cC55xjGW6mAciQQE5KcXV5\nuVKqr3Cz2WUinqpCN/L8WSHiMIx6OJ0BW/7hbDFCVFS6KUmzJkSjHYhTA/YEHi6qPakYzhp9NQLJ\n588sq3ElABxBNO/kjUzbJQDjZz5ny8eeidjt3CfXfJlC82iyicWODo55BTjF11//at3fz78+gr/7\nRKioPv3lQTd++qlKxCOWkR3ZmS0v8OT54AeB170ut1jUE81KyUxqENE7UyBXjl2Hg8VuyLTjykr2\nDutwiGCQhbEucKGzR+jqJhq7KHa5rLLNOt2ZPUVJIGCFMyQS/Lex0SrhuGQJz7DUhnz55fyEJ0yK\nBRMmkTtDhIEdO4y0GOL6+mvHVZOz38gLlbBNJgfw0pfy88GOHUaOVuOryWVDUlUtbJRSOBj4OQYc\nLy7YdkONG42RbyDW83FMp+3mGx3RiN3OfQrl1s/mzdy+nb2+sZhVHnjZMk6rCnDmgs5OFsaBuhRu\ne7i4WPbH7/Fix/f8GB3Mdb0sDRdfDNxwA09AE4SsZLryAU6FMjTEonV0lF+1tdxGV0yJRlnQ+nxW\nCEWu+GAdD6w9vTqUQmeE0Dnxzj6bY5H7+vjpU+fl6+vj5StWcB9bWkQIT5GpimEF4A9EpADcoZTa\nltmAiG4BcAsALJ/F4ufZPFUMe211DHEw+AS6u+9CZuaH5uab0m7khw7dmjM22D4UnNvLnL2aXDak\nUtfsMNu2eygYxU/bR4ACQtiZOo1zwtdhRcU16D49E7Zb3LEQu50dJmK3uYbws02sc7mA559nr3A8\nDhw4wJpg7Vped+wYb+O55xUueWsYV7x7rGBfn/m5B7/8bCDnJLdS4fVyNojXvz77hDJhbjDb19wz\n2N3rbW1s9D097B1WikMmRkas+F+v10qhpsMbXGY1T11m0I4Wx9GoNRFOe409HvYI19ayyA0EeMbl\n2rUcruF0cvv6eiuv3mweq3nCVMXwS5RSJ4moEcBDRHRAKfWYvYEpkLcBwAUXXFCaesWTINNTlS18\nIZUK49SpbeOWZ8v8kEplv9BnDgXLcHH5Mpu2e3Q4hp+1F6605U/uxZbQ5SBAbFcAMHG7zRxWzzWx\nrrfX8vp2dbEXWCnWAA0NLIYB4Ow3jOLi12fJoZbBw9/044/bSp/b1Olkr7V2utXVsRA+6yzgyisl\nhGAuMyf0QmalueFh9sQODbFBxeM8NKLLKerYX5+PTwhtfFVVHFYRyhIipMMpiKx8fZGIVUGlupoz\nQSxaxNtxOjltia6UMtW0L8I4piSGlVInzb+9RPRzABcBeCz/t2YPu6cqd/hC9hyA9tjiXOWaAQfW\nr982rgCB/o4MFwuFUErh6Egcvzw6Mi4Zn6Y+9lO0RL+KmLEUlYknbdlTxXaFiaNToi5ezCOtemKd\nnrhTUAIAAA4ISURBVDSv04mNjnLWKD1hvrvbqizb2wuEIwoX3xDOK4S/+H9qUNmQguEA2p9xTaif\nRKwzAgEeHY5GuU8ul1V9dsUKdpLpz9XVPMeopgbYsoX1hSDkRA+JdHayoVdWsvHoynO6uEYiweJX\nL7OXV47FLJFcVWXFA+v4YR0GoZ/WdK5fv5+f3HR1l6YmjkHy+7kfq1ZZefjkia7kTFoME1EFAEMp\nNWK+vwbAp0rWs2kmdwyxA9lEhX1oOF+2iWxCQYaLhUIopXBsJI7Hu8M4OZp7kpvPSVgf+TpSqX2o\nSO3LWCu2K0yMe+7hSmbaCbZxI2dU6OxkT6+uZLZyJQvfeJyXDQ1ZRSNGxxS2XhfBxW8cQ+Wi3KVm\nX/iDG33HnejLX5X+DBUVlj5Ys4bnC9XVWVVlEwnOKrV+vZWzd2zM0jA6HEIyKwhFoYdEQiErt3BX\nFwvamho+EbSY1YU2nE5+8tJVVnSJZsOwJr1pz65+ctSFMhwONmRdCGN4mNu2tLDBut38dKefRl0u\nCXafRqbiGW4C8HPiAHEngPuUUuOTks4S9iIFDkcdiHjij/Zu5RoCbm6+Cd3dd+UdGpa0UcJUORSM\n4qHOUSRTCj6nAQWgP5IuZB0qiPWRD2Of71sAAG/qJK6ta0dV48fEdoUps2cPsGtXelW4Xbt49PWF\nF3jOkL4/X3wxLw+FgE2vC2HTlVHEI4TRIUJ1YwqB+vRxjKPPO7F/hxvXfoBt8fF7vHj4juJCImpq\neN7QpZcCL3kJe3THzMieyQhcEcFCVjKD5fWQSCTC8cE6YbOeBOfxsCE6HCyER0ZYoOosELomt87+\noNumUixo7enR/H4+sRYvZvE7Nsb7WrWKY4WHhnidFsLAgi+XPN1MWgwrpdoBnFPCvpSMzCIFnP+X\n0RPl1q/fhvXrt2UdAq6ufnHeoWGJpRTs9IQT+En7MFwGwe0guA3z5SC4DMDrMFDvdaDB60CD1wmX\nATzcOYrhGHvRRhPpIphUFI2xe9ES/Qo86hTOSnYibGxEQ/xn6BpVqBLbFUrAoUOAe2MYNesiSEQI\nSBAMRXh0mNDTSGh4GcE/aCB40oEndjsAciBkJHHh32n1rFCT4agK9hp49Hs+7PyZF1BAaMDA6KCB\ng0/mT4/mdHJ45KpV7OldtozF8Jo12ecGicAVpkS2GaINDfw+kbAqy0WjLFRHR1m0atHrdltp0VIp\nFrha7OqJcDp/MBFve/Fi3o/Xywbe18ee3xUr+GQcHuYhGB0W4fdzH3TJQzH6aWVeplbLHRfJ6GIb\nl1xybFJDwxJLKdiJJFMYieceHs6kymVgOEt7BwFN8fvRFL4dHnXqzPLK5LOoTD4LgK+zYrtCKait\nBUY6U6itTsGTcZ9d2ji+fTIOvOHi7Fkfgj0GHr3Th+d+5UV0zGrz/G+8BftRX8/e35YW4JJLeDR5\n2TIO2ZBJ8kLJyTVDtKGBRWdfHxvhiRMce+PxsKgdHWUh63azUE0mWQDrnMJaKOv8wg4HxxXX1/PJ\ntnUrcOGF1pNfZSVw8qQVsL9sGb+0NzgU4qGQ5mYRwjPAvBTDUykXWywSSyloYqmJTXq2C+E1VW68\nrMWPaFKh3uPAzif+Ecg5dY4R2xVKgccDjISLt12HC6hssNr/6vMV6HjBCcMJnD7iRCRMcLt5pDiV\n59nQ6bQmt23YwB7g5maOBwZYI2zeLEJYKDE6LEInxc4kHOZYoFOnLK9wJMIieNEiju+tq+PvJ5NW\n9gfDYC9xKsVt+/pYGHs8/B23m0Wxzh3c0MBDHn193KdIhNskEvxee6gzyyMK08q8FMO5J8eltxGE\nUrCq0o33nVWLWEohnlSIphTiKYVYUiGWUhiNK/RFEuiLJDEQSabVdDtvkReNPus0FNsVZopf/hL4\n430V+OM2P5xeBa9fobJOYe0GhY6TCoZboWZxCk2tCTS1JlHVaFlusNfAc7/xIBrirDwVFZYmcLt5\nZDkztSrAemD5cvYCr1jBleBe8xrWBN3d3EYcYULJsYdF6BmgS5emt/H7rYpyOrVaKMSiOJVi720g\nwIbudLIXORrlZZdeyrM5BwaAhx5ib69Om6YzTzQ08AlQU8P76+zk7erPAG83EJCTYBaYl2I4d4EN\nRmIkhVLiNAhVbkdRbZMphYFoEv2RJKrcBloq0tNLie0KM8XJk8DIoHGmboAufpXo5kxSsZi13O0G\nFi9LIepKorophY6/Os8IYZeLvbluN48G6/lFfX1WUS7D4Hv++vU8UrxlC3DVVZb3V0oIC9OGPSxC\n5wscHbVSpQCWID16FHjmGUvAhkJs4HoCnM/HoleLZL1u+XLg/PPZ6F0uYO9ezjcYi/FEuS1bgIsu\nAjZtYkPv6kqfuapxOrm9nAwzzrwUw5lxkdmyScgwsTAbOAzCIp8Ti3zZTz2xXWGmWLbMek+2UGC3\nm8VtNMreXYeDR3w9DgPtew10vJC+ndpaHvXVzjY9oT4eZ29vMMhOsZYW4JxzgA9+UO71wgyis0To\n3MGaWMxKY9bXx3XGu7s5VljnEtZPgg4H/125kkMl3G42bIDf6zQnXi/nB66sZK9vLMYnyGWXpcf9\n+P3cNhOvV7JGzBLzUgwDEhcplC9iu8JMcOGFfN/u77fSo9bX8yS236YXLYTfz0K2v59FbzzOy91u\nrhB78cUsnJua2CFGxNVjN24EDh7kbW/axNsWhBnF77dyB9vRE+EAy3PsdAKNjTxs4nTyesNg0bxu\nHZ8getKc/m48bhXO0J8BTo2iJ+VlBsBXV/OT49CQ1a/KSl4mT4qzwrwVw4IgCEJu1q7lAhsvvMCh\njnV1nN/32muB06dZxEaj7BVetw64+WaeW3T0KM6EVtTUANdfz6J3wwYeIR4YYL1QX8964bLLZvs/\nFeYtmbmCcy13Z6T2q6zkEIlwRjia18vB7LoEsy6c0dpqVYDZsMHKQawnxSWTludZV4AxDB4yySVu\nW1tZLEuw/JxAxLAgCMICZPNmDnP0+9Mr0F19Nd//H3uM9UBDA/CylwHnngvceivwyCMsiltaOAzy\n/PPT7+OSBUKYEbLlCm5tzb580yYOWbDXFwfGhyQEAiyUW1vZwHXp5GXLWBjX1fEJ0dCQLrZ377Y8\nvOGwNZO0EBIsP2cQMSwIgrBAufFGrkSnU51u3szLr7iCnVraY6wF7ubNrC20ppDsT8KskCtXcEdH\n7hzCOixBYy9kUVNjrVu6lL3DY2MsoAMB9voCHG5x+LAlvDVNTdyn9nb+7HJx7LHbLbFBZYKIYUEQ\nhAXM5s2WCLazfPl4L68e2Z1IOWRBKDmZ4Q2agYHc7Vtbc4dV5Fqnc/7V1FjeZICFczBotdMeZpeL\nX5pYLL2dMGcRMSwIgiAUjYzsCrNOrowLdXUc8J6rfT7jzbauupoFcig0vn04bLUvFJcsJ8ycR8Sw\nIAiCIAjlQ3V1emgDYGVtiMdzh0NMhlzCO3N5sXHJwpxExLAgCIIgCOVFrtCGfOEQkyGX8M7mRc4X\nlyzMaUQMC4IgCIJQfuQKeyh1LE+xArvUQlyYMUQMC4IgCIIg5KNYgS1B9WWJMdsdEARBEARBEITZ\nQsSwIAiCIAiCsGAhpdTM7YzoNIDjM7bD3DQA6JvtThRBOfRzNvq4Qim1aCZ3KLY7Icqhj8DM93Mh\n2y1QHnYhfczOQrbdcrAJoDz6OWdtd0bF8FyBiJ5VSl0w2/0oRDn0sxz6OJ8oh+NdDn0Eyqef84Vy\nON7SRyGTcjne5dDPudxHCZMQBEEQBEEQFiwihgVBEARBEIQFy0IVw9tmuwNFUg79LIc+zifK4XiX\nQx+B8unnfKEcjrf0UcikXI53OfRzzvZxQcYMC4IgCIIgCAKwcD3DgiAIgiAIgiBiWBAEQRAEQVi4\nLFgxTET/RUQHiOgFIvo5EdXMdp80RPQKImojosNE9LHZ7k82iGgZET1CRPuIaC8R3TrbfVooiO1O\nHrHb2WMu2y0gtivkZi7b7ly3W6A8bHfBxgwT0TUAtiulEkT0eQBQSn10lrsFInIAOAjgagCdAJ4B\ncINSat+sdiwDIloMYLFS6jkiqgSwC8Br51o/5yNiu5NH7Hb2mKt2C4jtCvmZq7ZbDnYLlIftLljP\nsFLqD0qphPnxaQBLZ7M/Ni4CcFgp1a6UigH4IYDrZ7lP41BKdSmlnjPfjwDYD2DJ7PZqYSC2O3nE\nbmePOWy3gNiukIc5bLtz3m6B8rDdBSuGM3gngN/NdidMlgA4YfvciTlmNJkQ0UoA5wL48+z2ZEEi\ntjtJxG5nlblkt4DYrlA8c8l2y8pugblru87Z7sB0QkQPA2jOsuo2pdQvzTa3AUgAuHcm+zZfIKIA\ngJ8C+Cel1PBs92e+ILY7vYjdTg9it9OP2O70ILY7/cxl253XYlgpdVW+9UT0dgCvBnClmjvB0ycB\nLLN9Xmoum3MQkQts2PcqpX422/2ZT4jtTh9it9NHmdotILa74ClT2y0LuwXmvu0u5Al0rwDw3wAu\nU0qdnu3+aIjICQ6IvxJs1M8AeLNSau+sdiwDIiIAdwEYUEr902z3ZyEhtjt5xG5nj7lqt4DYrpCf\nuWq75WC3QHnY7kIWw4cBeAD0m4ueVkq9dxa7dAYiuhbAlwE4AHxXKXX7LHdpHET0EgB/AvBXAClz\n8ceVUr+dvV4tDMR2J4/Y7ewxl+0WENsVcjOXbXeu2y1QHra7YMWwIAiCIAiCIEg2CUEQBEEQBGHB\nImJYEARBEARBWLCIGBYEQRAEQRAWLCKGBUEQBEEQhAWLiGFBEARBEARhwSJiWBAEQRAEQViwiBgW\nBEEQBEEQFiz/H+am/6scs9MuAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe806a240>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "50 500 - 1.11783758262 0.0102436414355 [ 0.07725683  0.3153241   0.31516561  0.31510171  0.31565487]  -  1.25112049427 0.764154501215\n",
      "200\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe85da978>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJztnXl4W2eV/79Hu2XLe2zHiWM3a5OmJM2kK5SG0hVaygzD\n2rLTlgEGZoatTOdHGUopdFhnmAJl60IptAOUUrpCV9p0SUq3JM3mxEscO/ESWbJ26f39ce6be61I\nsmTLlm2dz/PokXTXV1fn3vu95z3vOaSUgiAIgiAIgiCUI7ZSN0AQBEEQBEEQSoWIYUEQBEEQBKFs\nETEsCIIgCIIglC0ihgVBEARBEISyRcSwIAiCIAiCULaIGBYEQRAEQRDKFhHDJYCI7EQUJKIlpW6L\nUL4QUQcRKSJyGN/vJ6IPTmI7Swx7the/lYLApNvrfIKIHiOijxmfLyWih/JZdhL7kXN1Bijk2jpV\nuyaifyein06lvYKI4bwwLh76lSKisOX7pYVuTymVVEpVKaW6p6O9mSCijxHRYzO1P6E4ENF+i70N\nENHNRFQ1HftSSl2olLolzzadY1mv27Dn5HS0S8gf47+JEVFj2vS/GTfcDsu0U4joPiI6QkTDRPQc\nEX14ptssjEcpdbtS6rxibGumzlUiWkREI0T0Bsu0NmPaqcXc10xARA8Q0VczTL+EiPoLFa75Xlvz\naNcmIupN2/bXlVKTejiaDox71NdK3Y5CETGcB8bFo0opVQWgG8DFlmm3py8/Hz0XwvRBRF8hoq/k\nWORiw/Y2ANgI4D8ybIOISM7nMiAPe9kH4L2W5U8E4E3bxukAHgHwOIDlABoA/BOAC4vdXmH+o5Q6\nAOCLAH5KRB5j8o8B/EIp9WzpWjZpbgFwGRFR2vT3A7hdKZUoQZuEaURunkWAiL5GRL8hojuIKAA+\niU4nomcMr8tBIvpvInIayzusXhoi+qUx/34iChDRZiI6Lsu+vET0KyIaMrb9nPYCEVEtEf3C2F8v\nEX2ViGzGzfAHAM40PIyDM3JghKJi3HDuB7AWONpdeh0RPQUgBGApEdUQ0c8MGzhg2KbdWN5ORN8i\nokEi6gTwVuv207tfiehyItph2OR2ItpARLcBWALgj4YtfcHazUdE7yaiLWnb/Vciusf47Dba0G14\nun9ERBWZfi8RfYiIniKi7xq23klEZxjTe4joEFm6HnNtm4jqiOheIjpseKvuJaLFab/9WmN/ASJ6\niNK8q3OI2wB8wPL9gwBuTVvmvwDcopT6plJqUDFblVLvyrRBIlpORI8Tkd+wn99Y5n3f+D9GiWgr\nEZ1pmfcVIrrLuMYFiOgVIlpJRF8y/r8eIjrPsvxjRHS9cV0bJaI/EFF9ljblsvWs7c2wnbcR0TbD\nxh4jotWWefuJ6HNE9LKxrd+QKfas23Ab66+1TFtA3KvTNJH9pW3rQ0T0V8v3c4noNWP/PwBAlnnL\niOgR4vvBIBHdTkS1xryc56qxTCsR3UPcM7CHiC5P++/uJKJbjf9uGxFtzHYcAfwEwEEA1xjn5Spk\neHCfI9wNfkC02nIdgItgnEtE9FbiHpdRw46/km1jND4MZqLr8IfJvO52EtGVxvRK8PW/lcye6Vbj\nf/qlZf0p27OxbK5z/ngietiwm51E9C5j+hUALgXwBaN9f8zvcM8ClFLyKuAFYD+Ac9KmfQ1ADMDF\n4AeMCgAnAzgVgAPAUgC7AHzKWN4BQAHoML7/EsAg2OvnBPAbAL/Msv9Pgk/UCgB2Y50qY94fAdwI\n9gI1A9gK4KPGvI8BeKzUx09eGf/TrwD4ykT2BqANwDYA1xrfHwP3VJxg2JQTwO/BHplKAE0AngNw\npbH8xwG8ZmynHsCjhh06LNv7mPH5nQAOGHZMYO9he6ZzAECH3o5hewEAKyzznwfwHuPzdwHcY+zf\nZ9js9Vl++4cAJAB82LD1rxm/938BuAGcZ+yraqJtg29s7zDa5wNwF4C7Lft6DMBeACuNc+sxAN8o\ntW1M1l4A7ASw2jhuvQDajf+owzgGSQBvKmCfdwC4Gnx98wB4g2XeZcbxdQD4LIB+AB5LWyMAzjfm\n3wr2XF9t2OvlAPal/Q8HwA98lQB+C+NaaLUz43suW8/a3rTftRLAGIBzjfZ8AcAeAC7L8XwOQKth\nVzsAfDzLtn4O4DrL908CeKAA+9Pn3ocA/NX43Ai28X802vev4HNCL7vcaLsbwAIATwD4XqbrR5Zj\n+AT4nuEBsB7AYQBnp/13bwHb0fUAnpnATpYB8AMY0duZqy+wuP+p5fuVAF60fN8E4ETDxl4HYADA\n27McZ+v/O9F1+K3GcSQAZ4EdHRss++zNcD3Q50gx7TnjOQQ+33rA12UHgJPA+mWNMf9mAF8r9f9X\n8P9d6gbMtVf6xcWY9jUAj0yw3ucA3GV8ziSGf2RZ9m0AXs2ynSsA/BXAiWnTFwEIA3Bbpr0fwMPG\nZxHDs/SFicVNEMARAF3gG1eFMe8xAF+1LNsMIKrnG9PeC+BR4/Mj1gsfWExmu2A/COAzOdqU6wb7\nSwBfNj6vAN/MveCL+xiAZZZ1T4dFDKXt50MAdlu+n2jsp9kybQh8Ey902+sBjFi+PwbgPyzfPwFD\nyMy2Vx72cg7YI3c9gAsAPGy95hjXCgXg+AL2eSuAmwAszmPZEQDrLG192DLvYsOe7cZ3n9GWWsv/\n8A3L8mvAjgY7xj90TWTrebUXwP8DcKfluw0sxjdZjudllvk3wHKtTtvWOQD2Wr4/BeADBdhfJjH8\nAVgEqGHnvXrZDNt9O4C/pduD5bv1GLaBH4p8lvnXA7jZ8t/9Oe2/CE9wPB1ggdUF43owV18A3gC+\n7uoHu6cA/GuO5b8H4LvpxznD/5vzOpxhu3fDuBZjYjFcTHvOeA4BeDeAJ9Om/RjANcbnmzEHxbCE\nSRSPHusXoxvhT8TB9qMAvgp+ys9Gv+VzCEC2QVI3A/gzgDuNrsFvGF1e7WDvwIDRPXIE7EFrntzP\nEaYTo5tU/09XAbhKfyeie9MWf7tSqlYp1a6U+oRSKmyZZ7W7drA34KBl2z8Ge80A9gZYl+/K0cQ2\nsKd0MvwKZszq+8AesBDYc+UFsNXSvgeM6dkYsHwOA4BSKn1a1UTbJg4v+jERdRnn4xMAamn8qPp8\nz8EZp0B7AThU4n1gYZUeIjECIAVgYQFN+AJYiD1ndMF+xNK2zxndun6jfTUYf61L/78GlTmAS9uy\n9Vin26gTx147J7L1rO1NoxWW80AplTL2v8iyTL528SgALxGdShwCtx7svc7X/rK17+jxUKw2jn4n\nomYi+rVxLxgFP4jmG97TCmBYKRWwTOtC7t/uodxjYq4CP6AeAjuA5ixKqb+CPZ5vJ6JlAE4BX9sA\nAMb//Chx6Isf7PHN59jnvA4T0YXEIZbDhl2/Jc/t6m0Xy56znUPtAE61XH+OgEMjWvJs46xEBnoV\nD5X2/ccAngHwbqVUkIg+B443mtpOlIrB8AwRxxU/AH4SfwRs2PXGCTBR+4QSopQ6ags61kwp9ZXJ\nbMryuQfsLWtUmQd4HASLXE2u1H494K66ifaZiYcBLCCi9WBR/K/G9EGw+DlBcfxzMZlo258FxzCe\nqpTqN9r2N1jiL2czhdqLUqqLiPaBb6QfTZsXIqLN4G77R/Pcfz84pAHEGQP+TERPgAX1FwC8GcA2\npVSKiEYwteOabqNx8P9rnZ7T1rO1Vym1J23RPnCPA4xlydhPwfaplEoS0Z1gmx8AcK9FaE7W/sad\ns5b2ab4OPh9PVEoNE9HbweNDjjYrx7b7ANQTkc/SziWYxG832rYGwOfB4YEuAH8lot8qpXZPZnuz\nhFvB3vlVAB5MexD/FfhYX6iUihDR95CfaM16HSYiNzg06AMA/qCUihPR3TDtZKJrbzHtOds53wPg\ncaXUudlWLXRfswHxDE8fPnDs1JgRwH5lMTZKRGcT0VrizAGj4BtFSinVAx4Z/i0iqiYeOLeciN5o\nrDoAYDEZg/iE+YdS6iCAhwB822IDy4joLGOROwF8mogWEw8GuSrH5n4K4HNE9HfELCeidmPeADgO\nPls74uCYyP8Cx6U9bExPgePwvktETcDRlEznT/pHm/ucaNs+sFg+Qjwg65qp7nMO8FFw3OZYhnlf\nAPAhIvo8ETUAABGtI6JfZ9oQEb2TzAFfI+AbXgp8XBPgWFMHEX0ZQPUU230ZEa0hIi+4R+3/VFoq\nsIlsPUd707kTwFuJ6M3GtfGzYJH99CTb/itwN/KlsHgRMXn7+xOAE4joHwyP7Kcx3gPnA4ed+Ilo\nEViMWsl6rhr3jKcBXE9EHiJ6Hdhmfplp+VwY96OfAbhBKfWaUuplAP8N4CZDkM1VbgWHv1wOzjBh\nxQf2rEeI6BRwT0w+5LoOu8A9vIcBJIjoQnAYhWYAQAMR1eTYdlHsOcc5dC+AlUT0fiJyGq+TyRyo\nl/P+MFsRMTx9fBY8ijsA9hJnHc1cIK0AfgcWwtvAIRP6onsZOLh9O9h474J54XwYwG5wGIW1m0SY\nX3wAfEHVNvB/MLvDfwKOBX4JwAtgO8qIUuouANeBbSsAjlvTo/qvB/AfRhdZtq7QX4FvInelee6+\nCB7Q8YzRrftnsNelGOTa9vfAA+MGwT02DxRpn7MWpdRepdSWLPOeBnC28eokomFwfOB9WTZ3MoBn\niSgIHqT4GaVUJ9ieHgAPEO4CD7jqybKNfLkNHA7WDx648+ksy+Wy9WztHYdSaif4uvk/YNu4GJzK\nMDaZhitOIzYGvk7fb5k1KftTSg2CB7N+Axx+sAIcu6r5T3DKRT9YOKef0xOdq+8Fx7f2gUM6rlFK\n/TmftqXxGXCY0g2WadeC7z+zJgduoSil9oOFZCXYjqx8AsBXiTNIfRksRPMh63XY8NB/2tjWCFhg\n32OZ/xp4YFun8Z+2prW3mPac8Rwy2ngegPeA7aYfwDfBIh7gh6I1RvvunsR+SwIZAc+CIAiCUFKI\nCwP9UiklFbUEQZgxxDMsCIIgCIIglC0ihgVBEARBEISyRcIkBEEQBEEQhLJFPMOCIAiCIAhC2TKj\neYYbGxtVR0fHTO5SmIds3bp1UCmVq1BD0RHbFaaK2K0wVxHbFeYq+drujIrhjo4ObNmSMdOPIOQN\nEeWqnDYtiO0KU0XsVpiriO0Kc5V8bVfCJARBEARBEISyRcoxC4IgCEKZ4fcDoRDg9QI12eqZCUKZ\nIGJYEARBEMqIvXuBI0fM77W1wLJlpWuPIJQaCZMQBEEQhDLB7x8vhAH+7veXpj2CMBsQMSwIgiAI\nZUIoxO/9/cDOnfxunS4I5YiESQiCIAhCmeD1As8/D/T0APE44HQCbW3Ae99b6pYJQukQMSwIgiAI\n85BMg+T8fqCra3yoRCrF02UgnVCuiBgWBEEQhDlIrowQe/cCvb1AJAJ4PMDixTxIrquLlw8E+OXz\n8feuLmDJktL8DkEoNSKGBUEQBGGOYc0IEQwCLhewZg2LYr8fePVVYGAAiMV43pEjQGMjC+POTmB4\nGEgkePrYGHDBBaX9PYJQSiYUw0T0cwAXATiklFprTPsKgMsBHDYW+3el1H3T1UhBEARBEBidESIY\nZGE7OgrY7Sxwjz+eRe6ePeMHxQUCPK+igpcfHDRjhh0Oni4I5Uo+nuGbAfwAwK1p07+rlPpW0Vsk\nCIIgCEJWQiEOgRgYAHbs4FAIItMjbLNx2ENNjSl4ARbE4bC5jWAQqKri7yMjpfktgjAbmFAMK6We\nIKKO6W+KIAiCIAhW/H4z/VlLiylwAwGe5/dzirThYRbEbjeHQsRi/HnRIjNm2OcDDh4EurvZsxyL\nsRdZfxeEcmUqMcOfIqIPANgC4LNKqYzPlUR0BYArAGCJROcLcwixXWEuInY7f3jxReBvf2Px6/Wy\nx/e444D6eha2r7wCPPIIcPgwi9pkksMlGhr4OxFPq69nD3BFBYvmQ4c4TlgpIBrlbBLDw6X+tWK7\nZUM+tcBzLTMNtcQnK4Z/COBaAMp4/zaAj2RaUCl1E4CbAGDjxo1qkvsThBlHbFfIh0RKwU4AEZW6\nKQDEbucLTz4JPPMMe22TSfbiVlZyLLCOC375ZQ6ViETM9bSwdTpZDA8NAdXVvMyhQ+wZBnie3aWQ\nirPd6umlRGx3HpIuXPOpBZ5rmWmqJT4pMayUGtCfiegnAO6dcksEQRDmGAdDcdzbFcT6Bg9ObpIR\nSEJxePJJ4IkngC1beLBbMMjvlZUc7jAwwLG/zz03XggDprc3HueBcYEAi2OPhwfNVVQANpvC+osi\nOP0DIdz1+RpEhhwygE4oPlq4BoNsqF4vv6zoWuDWRNi56oVnmzdFD/GkxDARLVRK6efIvwfw6pRa\nIQiCMIdIphSeGghhc38YCsDjfWNYWu1Eg0eyVQqTQzvQ9uxhj/BLLwGvvcbhDPE4e4ZTKRa0fX2s\nM3INekuleD3tKdbxwUtWJHHJtUG0nBAHAFz4hSCe/FYNli2bHT0bwjxBi9reXn4iA/h7fT2watX4\nZUMhU8xmqwueq164df1Jkk9qtTsAbALQSES9AK4BsImI1oPDJPYDuHJKrRBmPQMDt6Oz82pEo91w\nu5dg6dLr0Nx8aambJQg5KdRuU0rBNkG4w6FwAvd2BXAonDw6jQgYjCRFDAuT4sUX2dubSLBH+Lnn\nWOxqgZxI8HJE7GQ7fJgdbepoIIEC2QCVGm+7SrEYttsBh0OhNxXF2KIxtCw0IxC81QqnnJnCihX2\nmfmxQnnQ388pTXp62AB1rE9vL4/q1GlMgPHe4nTP8UTTJ5qXJ/lkk8hUsfxnU96zMGcYGLgdO3de\ngVSKn8yi0S7s3HkFAIggFmYthdrtQz1BvDIcwZkLK7G6zgUowOcyBUJKKTw7EMaT/SGkLNGMiysd\nuKjdh1q3iAmhcF58kdOhhULsDX7pJWD3bvb6xuPjl1WKhbEWxwDgqUrhyp/74a1RuPmfqxGPEAJD\nhHjYBpuNB93Vt6RwxuVBHGmLWTYGRHZWoKrHi5PfSGhpmZnfK8wTJip/2N8PPPssB6Mnkxy47vFw\n5ZfOTuB1r+Nla2vHr19Tw9PS44L1MrnmTQFxYwgT0tl59VFBoUmlQujsvFrEsDBrKcRuByMJvDDI\nwZePHBjDE31jSCigw+fEyQsqUOu24U9dQfSFTBViJ+Cs1kqcvMAzawbPCbOXdO2gU6Y9+yynRuvq\n4sFy27aZuYAngkjhgs+E0LKceyk+/WsWCbEI8OKfPHjuLg9W/l0SZ308CLfPfIKrJBs6xnxw1Tvh\naeU45CINyhfmK1YDHhwcX/4wFuNa3i0tvNyePewRHh01SxxGo0BbG7BgAdDUxJ5hnSswffvLlmUX\n27nmTQERw8KERKPdeU2XUAphNjGR3SqlQER4sCeIvw2OH4WUMHTD/kAc+wPx9E1godeBt7ZXoVHC\nIoQc6Hv2wAA7x/Q4olgMaG0F7rqLxfD27awVAgEOa5gIIgWXV+Gff3UEDW3HruDyAKe8I4JT3hE5\nZt6GRg82tVYiHKRi6wlhvpJe+/vAAc7fNzTEnt9QCNi3j43X7WYRvHMnx/XU17PxOxxsbE4ni+Dq\nat7ezp38FOhymaETOkNENsOsqSm60cqVXJgQt3sJotGujNM1EkohzDZy2e2OkSge7AnC67BhOJrM\nsHZmbAS8ocWL05orJowtFsobaxzwyAhrCJvN9Aj393O2iAMH2HGWD0QKl/z7GNZfGIG70DDJiA1v\nWlCFU9tcAABX8fWEMNeYyMNqNVYtVDs7Oe738GHO1afX372bn/JcLhbJw8P8hLdoEdDczImxa2uB\npUt5O3v28Gt0lF9eL7B8OXdTFClDRCGIGJ6HFNtDu3TpdeOELgDYbF4sXXrd0f3t2PFBAONFhYRS\nCIUwE3absHegqvVHuLcrgKQCIsnsQvi4+P+gsfXzeHkoimhKYYHHjovafWj2ymVTOBatGwIB7iF+\n9lnTExwIAPv3s07QhS9272YRnMMEx9F0XALrLozi1AzeXiuxMPCnb/hwxj9G0bQ2BiIg1eOGa18l\nai+wTf2HCnMfv5+7I2KxY72xGu0NHhxk4evzsbjt7OQ4nliMn/b6+9kjTMTTAwGz/ncsxifASScB\ndXXmwLkDB3i9gQHefjjM4RMDA9yOqqqiZIgoBLmqzzMyeWh37LgMu3Z9BitXfn9S4kKvk0mo6P2l\nC2FNtq5qQbAynXa7u/NaDCYXweWsxcuuHwN5VNpypvrRFLoWb1r8n3jDQi9Goik0VdjFGyxkZO9e\n4NFHuVrcoUPACy+w3tDpzHQMsM3QovmEQgBATUsSjUuS6DgpjnOuzC+Q+C83ebH/WTea4UZoSxLN\ni4AGjx0NDZP4YcL8Y+9e9uz29PB3n8/0xnZ3s5CNx82wiESCP2/dyoYbi/GTXSTCoQ+9vSxcq6v5\n6S4cZi+v283zEwne5qZNHCscCPC0WIyfCgMB9gwnErx8ezuL4SJkiCgEEcPzjEyDhgAgmRyaUthC\nc/OlGdfLtj+NNZRCELIxXXb7dOhi7PScn3GeXY3BlepB2H78MfPWjF0Cj2G7brsNLV7xqAmZ8fuB\n3/yGU6Jt384Or/QsEJp8RXD1giS+cO8I7M7M8/v32FHXmjwmVKJ/tx3P/LoCbYs5m5UtbkdkCBj1\nsTaRjBFlQrbwB53711qpRcfyRKPspW1s5NGcfj8bTSrFy3R2ctdGPD4+gfWRI5zmRA+Ui8d5e14v\nG6HTydvt7eVpQ0P8fWCA96Hrhus0KYlE0TJEFIKI4XlGLk9sprCFqXZN59qfNZRCEHJRLLtVSmEo\nkkS9x44bXhzKuc+W6I/QGv0+DrvejaB9IwZd7wapONYFToOXBrF06U1F+33C/OW73wV++Ut2qmUT\nwfngcCvUNKUw3GvDlx7MUU0DwJ3/z4foGGHtm6M48ZwYFp+QQM8rDtz4wRo4HISKCnawVVaauqK5\nefJtE+YQucoV68IVHg+/DwzwtP5+julZuZKF8uAgC+JolI1oeNhMWj06ystEo/zu4hh0xOMsfnVo\nhN5PMMjrP/IIb2PRIhbFR46wV1gny/b5OGZ4+fKilFcuFBHD84xsg4Y00WgXNm/uOCpSMw168/uf\nwtDQfXkJ5Oz7s2PVqpskXljIi3zs9rHHbHC7l6Ch4S3o778l42DNp46swa5QW177XERPwoYwWmI3\nA7gZSyJfg02F4UAQq46/RWxXmJDLLwfuvJP1wVSwOxWufngYnio18cIADu7kW/cTt3jxxC0VWNCR\nxGC3HUQEh4P1SUsLZ7tqaGBNUoIwTGGmSS9lHAyysHU62Rh06EFVFcfsDA9zXI/dzsHs+/axCHY6\ngZdf5vUrKnh+IsEGFI3yeuEwG1o4zELY5TLLJOrlIxF+CtNFNw4cYDFss3FYhY4b8nhYAC9dWrLu\nCxHD84xMg4bS0eLBZqvImIe1r+9H4OKCE2eFyDa4ToSwUAj52C2gEI12jbNPTSKVwHN7b8auijvy\n2l+Hz4kTWv8JO3f+7eg+XarfsF0RwkJuNm8Grr0WePDB/EMfslHVkMLlN/nzFsJ3f71y3HebjXB4\nP9/KnU7WOUuXsv6orOReb80Mh2EKM4E1JMJasliXQQ6FODRhzRpg/XqzaMXICAvlsTEOh4hEWOT2\n9fG8vj4WsPpJKhrl7SrFn+12fgoMh81qMEqZscKpFK9bV8dPYNqDHInwE1p7uxknrA3T5SrZ05qI\n4XnG0UFDuz+DRCJ7N3EqFcohPNQxy2bLCpFrcJ0g5Eu+dsuY9plEJV7yPYmYLT9v8LoGN6pddqxr\n8KDKKbYrFIbfD3z728Add3BWqKmw+IQ4PnmbP69loyHgydsqMHrYjud/5wbATrXGRnbe6YwUTiew\ncCFw4onsgAsEeH5VVUnCMIXpJj0kwm5UwQwG+c/XYRAAlzkEOO/v5s3Arl0sZnV6NO3hDQTYw6sN\na3iYDctuZ0PSxma383o2GwvfZJKneTz8ikZZGNfVAR0dZreEDtFobuaBezrlisfDgr1EiBieB1jj\nJ+32eiMWfRgORwOU4kFIUyVXTGe2wXWCMBGZbJexA0hCASAAUVqMPd4fIuA4DQBQH7sbYftKhO35\nXTw/u64B4UQK1a7xJZPFdoVcpBfdevBBjhEOBvNZm633+DdG8dZ/G0PjEnYhP/i/Xpz/yVw9IOP5\n+nn1iI4RYuHxmUyqqzlj1bZtZoimHsRfWwusWsXtrKkBjjtOhPC8Iz0kAjAFaSTChjs8zJ5XnQrt\n7rt5mT17xnuBtcCNRk2vrx4Il0rxuw5psHqgiXj7SvG7/q49vB4Pe4Gbm/nV3s7v1ip2VVWz4mlN\nxPAcJz0llVX4JhJDsNm8IKqEUnlmdc+Cw1E/pfUFIZ1sthujJuzy/gJBxylZ1x12vT3v/TQn/win\n7cNwpglhQciFzkA1NMRpVl97DfjJT3IXyFh+agyXfXs0Z0GMQoTwjR+sQWDw2EwmNhtrispKdq5F\nIjytpoa1hzU0VITwPMUaEmH1rq5cyd7f7dt5nvb+BoMsoEeMwZn9/SxIE0aJeZuNBXMyaWaMsJJK\nsVBmDxu/iHi6y4Wjngwdn1NTA6xeDWzYAKxbx+2yGqKuST5LyiCKGJ7jTJTaLHcMZv4kEqMYGLhd\nvGhC0Ui33QgtwV7vjQg4Ti3K9tcE3waHGsbylrMBfLgo2xTKg+5uTpXW18eC+PnnOYdwtvjg1W+M\n4gPfCxRt/zd+sAYjB+wIDh8rhB0O1g2LF7PQrazkdtlsrEmcTvYOAyV3tgnThd/PIjcYNLMyaHRX\nQHMzD1jr7uZwiSNH+BUKmYJWi18ifmmRmw3tLdbhGDp+GGDD9Pl4vy4Xv69fD6xYwcaayRCnoazy\nZJlQDBPRzwFcBOCQUmqtMa0ewG8AdADYD+BdSqncuWCEomHtWk6P750+4lJNTpgy2Ww3iQq8WL21\nqPuqTm4GAAwN5a7YJQhW9u4Fnn6ayynv3s0FNAYGsi9/4nlRvO8bxRPC93yzEj2vZE4w7HKZAveE\nE4AzzmChrnvLfT6OGT7lFB6UP0t0hjAV0r2nOk44GOQ4YB1qoPP41tWxaB0ZAV56ibs0dGW4WIyF\nrFL8stlQbVmtAAAgAElEQVTMlGn5ohQLZ5vlQY2IDVPvu7GRP4+MlKSAxmTIxzN8M4AfALjVMu0q\nAH9RSn2DiK4yvn+x+M0T0knvWp5JpJqcMBWy2e6eihsx6HrnlLdPKgpf8llUJl/Cosh3jk4XuxXy\n5dVXgXvuYRH817/mHiRnsytc9/zUx2MAwFCPDf27Hdj+uAsv/NFzzHztDa6uZo2xdCm/GhqA007j\ngmDBIKdo3bixJGlahWKiBfDAwHhPrU5RpjNFKMVPbX19PM9u58FxixaxEN29m8VyOGxux7q9fGuB\nW7GGQzgMCVlfbxqn08nil4i/2+1z4qlsQjGslHqCiDrSJl8CYJPx+RYAj0HE8LSQXlwgkQgWKIQJ\nxfIeSzU5oRAmst041WHQ+a4pCeFloU+iMf5bUJZy4IDYrZA7NFHPe/xx4Pe/Z09rT48ZSpmJmuYk\nrrp/ap2h3/77Wgz32pFK5i7x7fGwt7e9ndtfX8+Ot9ra8WOPXC4ejG/9fd3dPE6qvp7TzApzAKvn\nt6fHLJcMmNXidMq0bds4K8SRI+yRTSZZIHd28mdd4W0yojcdm81MmaYryzmdPL2yksWww8HG1tDA\nr0WL5ky1l8nGDDcrpQ4an/sBZP21RHQFgCsAYImcjQWR7knLVZQgO3o8vimIiVxQKlbQVsqxmpzY\n7uSZyHb3VPwPBl3vyXt7ztQAVkY+jbaGkzEwcCtSVImKVD65rZxit2VOpoJcjY2m483vBx56iEsq\n79uXu8d4Mt7gh2/0oudVB/a/6MSC45IY7rUhEpi4vLfdzjqoqYm9wBs2sK5pbGTBe9ppHAqRTeQ/\n8gg7DDWtrcDZZxfU9BmnLG1XP43F4zzQrbubhaROERII8GA3a+nj0VH2Dm/fzkY8NmbG+6ZSvE3A\nzARRDGw2NkqdR9jpZAO12YAFC1gME/HTme7GsOYQnuVMeQCdUkoRUVbXo1LqJgA3AcDGjRtnKsB1\nVpNvCeSJBsfljymI7fYqJJPZh0M7HA2w26sM8cLprdzu9rLMvyq2eyxTtd0EfNhS05nXvpaFPoHG\n+P8hZFuNatsh+KrW4Uj/t+BGMmNnh8PRwPsw8hTb7Q1YufL7YrfzAKtnFxgvANO9vunLphfkevll\n1hU9PexA6+/nnuaJSim3rk7gn28/knshgxsuqkNolFBVpzDUY2Yx6duR3y3X5eJxR3r8UXU1O9/0\nb/L5zJjgTD3Q3d3jhTDA37u7TQ/xLBrIf5T5aLs50U9qvb0ckzM6agrImhoOdRgaYoNNJPhPGx42\nM0f09fGfqIVzKjX1KjDp2GymEK6qMut8K8Ve4MWLWYynUkBbm1lcY7YZ1wRMVgwPENFCpdRBIloI\n4FAxGzWfyeQx27Hj/fD7n0JNzevHCY3JeYKzoUBUiWQye4JMm82LFSvKTzwI+ZHNdg8e/AXC4T3j\nBLI1TlcBiNiW45WqvyBFub0ENhXChtG1sGMMBL6oV6a2I6UqceTIX7KvJ7Y7p/H7WZQCZjVWfS/d\ntw945RXWDNEoezhXreJlXnqJB8y7XDyAnog9qQBriL4+ribr83Fv8muvAVu3subQg/Fzo7D2nBgu\nvWHiAXIP/9CLx39RgVQSUIpDH6J55SM+llWrgLe8BbjwQrN+gk6d5vFkH5wP8LHcuXP8A4FmeJjF\ncCZvucQZzzA6T3AwaBbHSCT4NTzMf1IgwEJ5bIynx+O8fDBopjPT6xQbPUiuosIsulFTY1aUa2zk\npzSPxyyv7HKZhlpfz0Hsc4TJiuF7AHwQwDeM9z8UrUXznMweM4W+vh+ir++nANg9wUK4ePG+AHLm\nGi5X76+QP9ls1ypSdfluh6MeicQQBlwfxL6Kb0247crEi1g7dkHW2F+x3Zknlzc23/X7+1l0Eo33\nZmoefhh49FFepr2de3kDAbM41bZt/AqFTFFYWcnZEnp6ONNDPM5OKaeTC10tXcrLd3bydgF2nI2M\nmAPqJ4JI4bLvBLDmrIkXvuVffHjtCXd+B2XC/XKY5Wmn8e9/6CHzmOsMWKedZh7D9IcIXccgFmN9\n5fWOD9msr89cq+HIEZ4+R5x48wOdJzgS4T8sEmEjHxnh91iMhab+M2MxNvRAgN+VoQ0m6tKYDFZv\nsMfDxpVKsQCuqDAvClqINzWZJZdjMX4ybWmZMyESQH6p1e4AD5ZrJKJeANeARfCdRPRRAF0A3jWd\njZxP5B7Znm7Ux8b7Thenn75/2vchzG3yzcqQSoUw6jgLr9bcOvHCABpiv8WK8Mcn3S6x3eJj9Rxq\nx1RDA98Xa2rMIlJAZpG8dy9nZtizh186+1N7O6cEW7MG+PGPgWefZVEbi/G9fcECM0tTPM6D4HWN\ngGDQTJG6efOx4ZA2G4cBvPgiLzs5h5nCO78axIaLonkt/bN/qsaeZ12F7iQr+jgeOMC/+/Bh1hRL\nlrDY1z3lOsPWq6+aKWb1OKbFi3mdBQv42KZSvPzy5bydgwcz71tXyxVmCH0CeTx8guzcyaJXxwTr\nMIRAwOwWAfipaDo8wVZSKQ7X0GlMfD4zTsfn4xNUn6wuF4/w1GWZvV5eb44luc4nm8R7s8x6c5Hb\nUhbY7fUFlkcujhC22bxIpSIAMsUTSWUuYWImst0oLcT2qnsQtXXkvc2T/R2wI3d1RLHdmcXqOQwG\nWcxaPbMAp+86cIDvz0uXmhkNli1jQfr00zy2Z/duTvs1OsqC1+Fg721bG6cuGxnhbYTD5rgfp5M/\nE7EeiETyC4NMpXgfg4OF/+Y1m6J4/3fyzxW8a7MTN3+q+mg4RLEYGwN27OBjpusg6NoJixfz8erq\nYo2hs2tphof5P9JZJhYu5GPrcLC3ub2dl9MazFq0bI6kgp1f1NTwnxUM8p934ID5p+gTYXDQLK08\n3QLYisPBYQ9NTWx4bjeLX/3e1saGo73bOuOFbv/q1XMufYlUoJtGdu36BPr6bgKQBGBHa+sVR1P0\nzQx2AKmjcZx+/1Po6/vhMUu1tl4xk40SZjmZ7Hblyhsz2q6CDQH7qdhXcQPC9uPz3kcuEWwO4uwW\n250BrOEQPT3sbdTlfvfs4fs0YHoZIxHg7rt5GY+H79d1dXx/7OvjAWqPPcbrHj7Mgi0eN3tdYzEW\ne8PDLNasVWWjUdMBNt24K1NYdkoc7/92/iL48Vsq8MD3K6exVXyMdcln7e0Oh/k4VVdz3PPy5eaY\nKY3uoR4c5NfQEHvz29pY7FpDIfz+YzNNzCEn3uxmopGJ1uwRiQQ/3YTDLIxTKRaU+l1XiZtJIexy\ncbvXrgXe8x6zZPOiRRwiobsfdNxyRYWZuq2qiufNMSEMiBguKtaR9nZ7+mC1ZMab+XRhs3mxatVN\n4+Io9edMQkcob0zbTR+0yXY7MvL40SwNmhHHm7Gz8td578OT3IN1wTfkzAmcbSCc2O70YA2HuO8+\nFqh60Fp1NXt69+3j+QsWcBxuOMz3vEiEnVcLF7LI7eri+/bOnbycdnTF42bRKoC/u928nekId5wI\nIoWLvzCG09+df2XC319Xied+WzGNrcpMKsXHaMg49ZTiMIc9e/hBBGBd5fez11gPCqyq4u8LFvBn\njX7wqKnh46/FsRbIIoinyN69/LTi97N3ta3NTP6su0x0F8m+fWbKtJ07zT/a7ze7RIqRHzhfdD3v\njg5+Et60iS8Gr389z29pOXZ0qzV4fY5lj0hHxPAUGS8izPjeXFkbpptcA4pWrrxRBIQAILvtZiIc\n3o4kKjHg+hD63J9EwrYg7/14k9tw/Ng74VKHcy430UA4sd3iosMh+vt5kNrOndzbaTciTwYH2Vml\n0d5JHcIQDvP6DgffI/v6eJtdXfxZ38v1OB/9HonwfTeRKH4WqGw0tCVxxnvDOOM9hZXm/stNFXj0\nZ14k4zPapTcOpUxN5HazdgqFWK/s2MH/244dfOx1z3V7Oz+kAPx/NDSYoRCh0PgQi5ER/i/EOzxF\n/H4eEXr4sJn+rLbWfELcu9dMhaafOgcG+OlldJRPhtFRM9hdTf9YIQB8wttsbFwLF3KIQ1MTn9Q+\n3/gYKE26oWTL8TeHEDE8BY4tL1v6tIhud7sMKBImpBDbPeI4C3srfoC4raWgfbhSPVgTvAQe1TPh\nsg5Hg9jtDBMKcbW1w4fZ03jwIN/P29r4vqbDFU44wfQ+1tfzND3YPZHg+3dFBa/T12emRE2lMju2\nlOJ1pztkzGZX2PSRMM79p8JztW+5x43f/WdV0WOCJ4vWKjq9ayLBx7y+3nQmAvy/dHWxKHY6zV72\nUMgUu37/+FhjwAxlEabA7t18MkUi/IpGOR7ojjs47kXnDA4G+V2nStOxQ/oFzIwQ1qnTqqo4zqm5\nmUMj1q4FTj2VwyJ0aeU5LnTzQcTwFCheUYziUI5V4oTJMZHtRqgN26v+iJhtUcHbXjH2UdQn7kG+\nMoLIhRUrvl/wfoSpMTTE926AQyIAc5yOLjS1ahXfD3UWh5oavs/39ZnZDSoq2HHkdpvpSG02cwCY\n9b6u77+A+V5cFBatTuBTt/sntfa3LqkbVyRjtlBRwcdX51F2OLjXXQ9OtIaURqPscNTxwg0NnBGr\nqsocl+XzjRfEPh9PF6ZAOMzv8TgfaF0ZzuEw8wEHg9ydEg6bo0aJzOpxxcZm4xNQxynpE1OHROh6\n3k1NwPHH82jYN7yBK72UgQC2ImLYQr7VtTT5ppqaHjhmcmjovrzbK8xfimW7MWrC9so/IGIvLFn6\nCcG3wpd8Ls+lbbDb65BMDovdlpBEwuw2b2pigavv3W43ex1f9zruUteDxZViAdbWxh7gigozBenY\nGDuTiFgP6AxQWqjpAXQ2mymki0n7+jg+/vPCRfDVpzQglZgdHmArOtWr02k67trbOQ7Y6zVDTOxp\n2t1u52PvdJr5mjU6rNM68F+ySRSJujo26nCYhbBOj1ZRYQbm61zC4bDZfTJdXmA9wlU/5aRSplG5\nXPwE3NzMy9TWmvmCibirqMwqsYgYNshUXWvnTh6p3tx8aUaxUfwqcek4UVv7Rhw58gis3diZBscJ\n5UsxbDdO9eh3XY4Dns/lvV+bCmFt8AJ4UzsyzBXbne3U1/O9MBTi3tnzz2eB29YGrFvH76GQWUQq\nFOKCD/X13CO8aJGZetRu5/vo009zd7zfz4KsspI9lbGYeQ92OPj+6/ebonkqeqC6KYkvPTBS0DpP\n3+HBoz/zIjg8Le7pjDgcZrVcnZ61osIUsw6HmV3DZjMdim43h3Fu2MD/13HH8X/S18eidv9+4NAh\n1llVVewFXrYM+Lu/M8c7aXSPt44F14Pr5lhK2NmDHjg2MMCGXFvLA+OOHGGjrqw0BXIoZOYSzBZD\nVCzsdhbBbjcP4Kus5H2PjZldNl6vGRfscpkp0zRlVolFxLBBpm7jVCqEzs6rASBjGdrpjxGOIxze\ng9WrbyvI6yeUF4Xb7mUg8hxddpf3Zxh2vi3v/Z3ib4XtmAIx6YjtznaWLGHh2tdnegWXLwfOPttc\nJv0+mEyy0HK7zTjj5mZ+LVnC9//bbmORpWNQPR4WdpEI33ubmvg+++qrrAsikcmKYYXrX8g/Z/sL\nf3Tjrmt8k9lRQWgPuNvNv9vn43enk39rPM7fm5tZOzU28nGurOSKevv3m9tIpVifnHMOaxqPB1i/\n3tyXLkvt87Egbmjg3u43vYmnp5dc1v/nsmXzIgHA9JDvgdGZIzo7+SmyupoFpRa58TjnIwyFWHwG\nAqYQni6I2LgqK1ngNjSYJ6jfb+ZGDIX4Say1lQ1DV5DzeMZvr4wqsYgYNsjWbRyNdmctQzsTRKPd\naG6+VASEkJXCbRdQKgIFYNjxtryE8MbRFXCoIxMul75/sd3Zzdlnc+zp8DB7fHOlB7XmA66tZQHm\ndrOYW7zYLJJVWcn3YLud78vaYebxsDe5ro7TrtntnMWit5fX06GN+UCk8OXHhidc7tGfV+ChH3iB\nvCPYj8VuZ92g4591+Wft3XUYd1EtfOvqWKS2tLAzLpXi4zE6yoI1vX7BmWfyq7sb2LqVy1OPjPD2\nnU7WWO3tfJytgra2lo/5qlV8XGMx/v+sJa9z6bp5kACg+FhzDQLm00qmVGIPP8xZIvQIxliM05IR\nsdEMDZnhEHok43SFRFgD9X0+zgqhy0TqGBu97/p6nj46yt0Mq1fzdF0m0koZxc6IGDbIFvLA00sX\nG+x2z73k1cLMko/thm1LMWo/A3WJhzHiOA/7vN+ZcLuTEcDp+xdmP0uW5Jcj33pfjETM70pxGCTA\nTrLmZtMBFY/zvbmxkZ1QJ5zA2sDlMqu2ut2cAcEaY2x1ni0/NQZPlcLuZ5z4xK1+NB03cffylzY0\nFnAEjoWIdU9LC+ubNWtYD3k8nIquq4t/n3am6TjchgZeR2sQXf3N6WTtYc2g4fONF65LlvBnm417\n3WMxc4zTCSeMXxbIz7srgrcArKUXNa++apb0A8w42t272esbifCfrAXxyAgLU31CaBE8nWERWgC7\nXGageGsrG2QkwoL3uOO4nbEYG6Quq3z88fy05fVyLsVsXQllgIhhg6VLr0tLNWVmZ8hcjGAmcEp2\nCGFCctnuS/tuxWG1Bj0eDpnYl+c21wbPnZIQFtudf+hY0yNHWAAODPB0XbkuHmdP5/Awa4fWVl7W\n7WYxp8MBPB7WCj1Gxj0dO6uda5p150ex7NQYTn57YSXpvnxGw6R+n9PJ7ddx0TrU4cQTgZNOYg+2\nw8GvnTv5NzQ08Dpa9Or8vVroFjoGSRf+qq01B7ctXpx9GyJ2i0gorQdN1x/XIwwBM442HDYzQwwM\nsMtfl0/U6dJ0ScDpTqitjbKx0XyiqqlhkXvmmWZw/yIjM5B11KT1CUvn3SvT2BkRwwa6KzdbfGO6\n2Jhu7PYGrFx5bCUuQUjHaruRaC+SnjOxtuNjeC78Nmxzn1/w9jb6l8OBQkfl2wDwBV9sd/6Qfm/U\n3sj+fu6Jtd7j3W52Sul6AzpEcuFCs76ALg2cSvF2t20zi3V4qlKoqVMYG7Hh2s35xwJrnv+9G7+7\ntgqFhkSceCKnVf3IR8x45mCQvdw6vRzAIlX3mJ92Gk+zHhu/nx8A4vGppWddtixzz7wwzaSHBOh6\n15niaINBjmvp6mJvsM496HazAVgTcU+HELbbzUFy1dVsJCtX8ihLu52nuVwsgPXTlA4ByTVqsoyf\nrkQMW0iPbxwYuB2bN3cY5ZXrYbfbprWynIy0FybDaCwJZ817kDru7/HsQX5g23IQAArzqB0X/hya\nY7dMogVOrF79C7HbeUam8Mlly/heGQqxSOzvNwecV1VxKMDq1awDurr4nlxbC2zfzvfo/n52RlVV\nAYODCkFKwu4jfOyGIJadPPmqD18/rx6BwYkzQ+iMFi4Xx+H+4z8C//APLHQ1+gFAD1RLF6VWrZD+\nuVg6oow1Semwdn0ALIJ1BTYrL77I1Wricc7OEAqZoyJHjKwm+mmvWKEROmBd5wh2OrmtLS3mILma\nGn7yPOkkM29eS4vZrSCjJnMyJTFMRPsBBAAkASSUUhuL0ajZQHq6qmRyCFMZhDEeJxyOaiQSQwDs\nAJITlqIVhEwcCifw89emEs4AVCZewNqx8/O0bifsdvfRh0LxAs9P/H7u8rf2qFozLXm940v6vvYa\nv2/cyB7gvj52VAUCwCuvcHEPt5vXaW3l93BbCJ+4Jjyldt70sRrseyF3tYiqKq4hsGIFC+DKSnaW\nnXtu5ljpdCEqmqGMSBeM6XG0Bw7wKMddu9i49ehKl8vMIZhMTt0b7HbztisrzWB6a03u+no25tpa\nFsIdHdwGnRpNF9NIz60nT1lZKYZn+E1KqcEibGdWUewMEg5HAxIJKTIgFEY4kcJgJInhSBIralzw\nOsd7v27bNTkhXBN/BEsiX4VLDcCZ4/S126vgcDRIarR5TKZsEtu3mzG9gFl0IxTieTt28PxolJ1h\nySSvv2ULz9+zBwgmk/A0JJGyK2zb4UIqQUezMcTjwPUvTE4I//lHXmz9oxvBIRsSseyPcAsWABdd\nxBkzTj6ZNUsZVZcVCiHdY5opjjYe5+6Ow4fZIzw6yu9a+Opyyvr7ZAQxET996kFwSrEo1ilMmpo4\npsfl4rY0NHAXjc9IGWgN6SizAXBTZd6GSRRakSud4mWQILS2fhwrV95YpO0J8x1tu6OxBF7yPYOU\nkRP4fos4OaO5Aqtq3YgXeL1dMfYR1CXuhw0Tl/8icmHlyh+J+J3HPPIIe3E1ra1crCEW4/t/fz/f\nh3Var5/9jGNpDx5kwRuL8f03HmeH1dgYO8yWnxXBO68xQ8ou+TK/RwKEe26oROfWwmr/BkcIP/pQ\nLYZ6bMinh27RIuD66zke2JqXVxCOIVs8kBbBQ0PsmdWxwEqxoesKKeGwWfYvbgn1ySSG7XZeP9M8\nnUuvtpYHvrW0sGe4vt4c3blsGWeGCIX4BNQpTqqqsqeBE/JiqmJYAXiIiBSAHyulbkpfgIiuAHAF\nACzJJ39PEZioIlcmdu36BPr6bgJHfNhB5IVSYxmWJOTrIZbQh7lNsWxXKQUiQjyl0B2II5RIIZpS\naK5woK1qvCjQthtRPrzs23xUCKfz9EAYTw/k51lbGP0BFkduACEFW55xxGK7c5d87ba7e7wQBjik\nob+f76dPPKGwbRshGgWa25PYeSSBuFIYq1fY9ZwLPV12JBJ8Dzfv7QpNxyXxjmsyj63w+BTedW3+\n4y5++vFqdL/sRDwC5Bumtn49cMMNwCmniB6Ya8y4XsiUTq23l5/4XC6zCorHY6ZH0YJXC9tkkl+6\nspsuM2j+KLOKik6mnS6GdaEMr5eD7lesYPF77rmZBa6OD84UAyxGPylITSEJNBEtUkodIKImAA8D\n+Gel1BPZlt+4caPasmXLpPeXLzzoLVMqNDuA1DhP8cDA7XjttSuzCF+O59XYbF5UV59+TInZbGza\nNDOFOcoNIto60/HpuWz3UDiB+7qCcNgAp43gtBHsBIzGUxiOJpFMActrXOgNxjGa5sp9Xb0bsZRC\nzBDHIz3/hlS8G7sqb5tymzvCV6E59gsQUiByAXBmsfNjEdstPrPNbl98EdjcF8ZoZRSpOCEyBsTC\nBLIB8CbhqU8i7Ldh7/NOrLswCrvFdRINAU/dXoGlJ8dxeL8dw7127P+bE2vfHMXr3xeZcru//fY6\nDHbbC1rH7QYuvhj49KfZsSYUj9lmu5PGKh4BLp3s95uD5Hp7zSTP+/cDL79sFrSor+dYm0iEnxoH\nBthTrGuKA6Y41pklbDYWvhUVLHi1R1kpnqff6+o4E0RbG4/obGzkoHsRtlMmX9udkmdYKXXAeD9E\nRL8HcAqArGJ4psge4pA05nM55R07LkNuT2/ymFhfLnGbj1AgDAzcLp61MiCcSKE/nDvsYPtIZo/s\ny8Pm9M7ROOC6DnBNvi0VydewLnimGesLddTLy2FD+Yhhsd1yoL4eOLQrCffCBAhARQNQkbaMqyKF\nDRcfa7tuL3D25dwz0bF+4pCbfLjp8mrs21q48VdUcBjlW9/KZYslLELIiDUcoreX32trOfjd5+PP\ngQAL4YEBLqxx8KDp7R0aYrGaSnFohMY6YE6LYms1OK+XhTHAHubDh3l5l4uFNhEH6591FvCudxWW\nmFooGpMWw0RUCcCmlAoYn88D8NWitWwKZKvINR6V9p6ZVCqM1atvOyoMdux4f56tUOjsvFoERRmQ\nKCBu12MnLKt2Ybc/hlhq8t7XEwObMOo4A37HWXCqIbhT3SCksDD6vwCAZDJ4TLyv2K6QzoF+haUr\n8lv24G47RvrsWHNWbOKFc3DDxXU49R0RLFyZwIHXHHC6FPb9zVmQEG5uZs1w4YUshNPLEAvCOKzh\nELqYBmDWFQ8ETCHr8ZjeW11JTucL7u3lMIa6Ol5Hhzzo1GfaE2yzsSfYbuftNzXxNvx+sw06E4Wu\n0LJ6tQjhEjIVz3AzgN8T15d0APiVUuqBorRqimSqyDVZUqnQOGGQn9BmSlnGWZg5FlU58MFVNYin\ngERKIZ5SSKQUKp02DEWSeLiXvbELvQ5c0uFDrduOl4ciuL87mFcfgyvVg7r4wxhwfwQA4E7uQ2Vq\nGypj27Aw9pOs66ULWrFdwcpvfws89gsv/nqHBylSIAfg9CjYbMDwARve9LEQVr+R4yOf+pUH93+v\nEqkkcOl/BXDC2fkJ4s13euD2Kmy4iL3Lf7i+EiMH7HjgvysLbq/bzWOHrrySB/ktXy7jhIQ8sVaX\ni0TGf168mMWpzcYZIvx+NjZr4QyAvcE6vMLj4eUBUwjrSnCpFM/XMcAOB4tdXY87FmMRHIux8TY2\ncm7gujozd6Ew40xaDCulOgGsK2JbioYWALt3f8bI5Ts1rMIgs9DOHGrhds/MgEGhtHjsNiz0Zk74\n3+EDalx2hBMprK5zw2HjQUCva/BgabULbjth6+EwnhkIY1m1C4ORBAbCSdhUCIui30FFcjfqE/cB\nAI6LfBEK+We7The0YruClVdeAQZ77YjH7QiHj60PcMdV1dhwUQQDnQ7st+Tyvf3zPlQ3pRANEd5x\nTRBLN8Tx3O89eP37wnC6gZ5XHXj1Ly7s/KsLA3v5FnPXl31AQdbL2O2cGWL9ek6R1toKnHee6AWh\nQKzV5XT6MV1JTmdjsNs5ZOLAAR5ZGo9z1ZhIhAVxdTULZ6XMuuEOhxkS4XSyl1cps+54XR0La112\n0eXiZUMhfm9t5XzBGzfyMqGQGHeJmLep1QAOcSgGVmGQqWxzQ8Nb0N9/yziRYbN5sXTpdUXZvzC3\nWV6Tufu3ysgZfFqzF6c2VYCI0Hvw13h65C+ojG9GZWrbMesUIiXSBa3YrmClqYl7g7PVCIhHCM/+\nX3oUMaAUwT/Ag9tu/1w1iBSUImz9gwdLT47h1b+4ETqS6eEwP+v1eDjsYd06FsErV7IX2JoHWRAK\nwlpdrqqKRfDQEIvaoSEWuuEwe2/1e309i2i/n8XwggX8CodZ+FZWsqAFWOTabLxth4NFrtfLYQ96\n4EeuBv4AAAkFSURBVF0gwAPoli4111+8mMWwHsCXXhJamDHmrRjOXDRDk+4N4+92ewNSqQCUMrsA\nMwmD9LLNAFBT8/op5TUWyhsj3Ag9+69CU9ZMKElks9306dkErdiuoFm1iu+9oRDfx7VnWPf65otS\nbLuD3XYMdh8rnvPBbuciWpddxuOIfD4zlFIcZUJR0LmD+/tZsLpcLGz9fh5cNzrKyyUSZhxxUxN7\nhon4ZNGVZ0IhXi4SYbFLxF7g4483l11hBOMHAuz5BVh4A/w9Hj82v7EYe8mYt2I4e8wjYfXq27Le\n/CdbrCOTyBCEQslutyls2qSy2udUisyI7ZYntbVclKK7m6vI6bE9brdZAdbhMEWyw8H372w1A/LF\n4eBB+TU1LHYbGjgW+PLLxfMrFIlM+XcB/vzcc5xSTadEC4dNr21zM0/TscILFrAH1+/nE8bp5PXq\n6zkrRGUl76e2Fli7ltOZ6BPH4eBujmTS9Pzq4hja0LO1U5hx5q0YzjZYyO1ekvPmL8JAKCW57BbI\nbp9it0KhrFjBoQiNjXxf7+42QxarqvgeXlfHDjO7ne//AwMsnG02DquMRMyQSYC1gjWNqsvF4pqI\nt6nDI9/xDnMc08KFrCMEoSjkqijX3w+89BLXHwf4ezjMonZszPQaJxIc2qCLbWzYwAJ6cJDntbeb\nHuNEggPbly/np7tMleByiXMRwbOCeSuGMw0WklhIYbYjdivMFGvXclYGr5cFaWMjC9iODr6ft7ez\nDtB6we02q9Mmk6w3Dh9mDVFZycJ3cNDsMbbZWEuceSbri0iEt3n66aX+5cK8RadQCwbZ4Dwe/qwr\nyg0N8dOcFrKpFHt6YzGOGx4b41dbG3dXrFnDXRcjI7yuHvwWCnGcUVMTnyTHHcfLZasEJ6J31jNv\nxXCmwUISCynMdsRuhZnkssuAV1/l2gKJBN/LtYZYvNhMe5peuEt/9vvZyVZfz/f67dv5u+4htm5D\nEKadUIhzAes8wgMDbNB6AJ3fz4ZZW8tPeFqg1tayEff3m2ENLS389KYH22nq682TZMMG4OSTZ/53\nCkVn3ophQLqOhbmJ2K0wk6xda4Yp5Nuba3V+WeN8Tz9dwiCFGSTd2OJxUwhrD24gYMbsOp1maeVU\nir3ACxeyd9du56e4WIyXj0RYWHs8LIyPHDHzFXs8ZslkYV4wr8WwIAiCkD/F6M2VHmFhRsgUG+z1\nmpkgdC7gmhoWugDPb21l0dzYaAaup1IsdFta+HsoxGEVgYCZYi2RYE9zLMbzTjpJDH0eIWJYEARB\nEIS5g7W8sqa3l4PXa2v5VVHBotXrNcskA5znt6aGM0fouJ/t2zlWSH+32TgG2OPhgXHaI1xbywK6\nuZmTYAvzBhHDgiAIgiDMHUJpNQR0nPCCBaa3t6ODwx4As+Syy8WD4tI9uqefzulUduwwK9Jp9AhT\nif+Z14gYFgRBEARh7mCt1BYMmnHCOpY3GGRBu2kTT89HxC5ZkrsQhsT/zGtEDAuCIAiCMHewllfW\nnmCfb3xxi+rqzGnOcqHzEYsHuOwQMSwIgiAIwtxCC9eqqmNDG4Dx3uNCEA9wWWKbyspEdAER7SSi\nPUR0VbEaJQiCIAiCkJOaGi5+sXjx+OnW8AZByINJe4aJyA7gfwGcC6AXwPNEdI9SanuxGicIgiAI\ngpATCW8QpshUwiROAbBHKdUJAET0awCXABAxLAiCIAjCzCHhDcIUmEqYxCIAPZbvvca0cRDRFUS0\nhYi2HD58eAq7E4SZRWxXmIuI3QpzFbFdoVRMKWY4H5RSNymlNiqlNi5YsGC6dycIRUNsV5iLiN0K\ncxWxXaFUkFJqcisSnQ7gK0qp843vXwIApdT1OdY5DKBrUjssHo0ABkvchlzM9vYBpW9ju1JqRq+U\ns8B2S33M80HamJtytFtA7KJYiO3OPLPdLmZ7+4DStzEv252KGHYA2AXgzQAOAHgewPuUUtsmtcEZ\ngoi2KKU2lrod2Zjt7QPmRhvnG3PhmEsbhUzMhWMubRQyMduP+WxvHzA32ghMYQCdUipBRJ8C8CAA\nO4Cfz3YhLAiCIAiCIAhWplR0Qyl1H4D7itQWQRAEQRAEQZhRpn0A3SzkplI3YAJme/uAudHG+cZc\nOObSRiETc+GYSxuFTMz2Yz7b2wfMjTZOPmZYEARBEARBEOY65egZFgRBEARBEAQAIoYFQRAEQRCE\nMqbsxDAR/RcRvUZELxPR74mottRt0hDRBUS0k4j2ENFVpW5POkTURkSPEtF2ItpGRJ8pdZvKCbHd\nySO2W1pmq+2K3Qq5mK12C4jtFpuyixkmovMAPGKkhvsmACilvljiZoGI7OC8zeeCS1s/D+C9Sqnt\nJW2YBSJaCGChUuoFIvIB2Arg7bOpjfMZsd3JI7ZbWmaj7YrdChMxG+0WENudDsrOM6yUekgplTC+\nPgNgcSnbY+EUAHuUUp1KqRiAXwO4pMRtGodS6qBS6gXjcwDADgCLStuq8kFsd/KI7ZaWWWq7YrdC\nTmap3QJiu0Wn7MRwGh8BcH+pG2GwCECP5XsvZrHhEFEHgJMAPFvalpQtYruTRGy35MwW2xW7FQph\nttgtILZbdKZUdGO2QkR/BtCSYdbVSqk/GMtcDSAB4PaZbNt8gIiqAPwWwL8opUZL3Z75hNju9CK2\nO32I7U4fYrfTh9jt9DJXbHdeimGl1Dm55hPRhwBcBODNavYETR8A0Gb5vtiYNqsgIifYsG9XSv2u\n1O2Zb4jtTh9iu9PLHLRdsVthLtotILZbdMpxAN0FAL4D4Cyl1OFSt0dDRA5wQPybwUb9PID3KaW2\nlbRhFoiIANwCYFgp9S+lbk+5IbY7ecR2S8tstF2xW2EiZqPdAmK700E5iuE9ANwAhoxJzyilPl7C\nJh2FiN4C4HsA7AB+rpS6rsRNGgcRvQHAkwBeAZAyJv+7Uuq+0rWqfBDbnTxiu6Vlttqu2K2Qi9lq\nt4DYbrEpOzEsCIIgCIIgCJpyzyYhCIIgCIIglDEihgVBEARBEISyRcSwIAiCIAiCULaIGBYEQRAE\nQRDKFhHDgiAIgiAIQtkiYlgQBEEQBEEoW0QMC4IgCIIgCGXL/wca5wS7Uw8higAAAABJRU5ErkJg\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdba0098be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6bf9aa20>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "100 200 - 1.10326831095 0.0336444729804 [ 0.07840168  0.23576896  0.23567824  0.2355396   0.23609598]  -  1.27294121181 0.715460839246\n",
      "20\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\noWIRMSwIgiAIgiBULP8fZ9wHvxKSwusAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe86e2898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nBEEQCpb/D9HcQvkCaxotAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbcc61c3c8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6aae5a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1000 20 - 1.16889844192 0.0936926954501 [ 0.07366523  0.23019637  0.22964412  0.22558789  0.2344135 ]  -  1.38964247551 0.655670295983\n",
      "2\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdbe87f0a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ngiAIgiAIFcv/B/4qZUTs4YMMAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdba00984e0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsMAAACACAYAAADu32SpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6b8900f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10000 2 - 1.13305354066 0.034341862824 [ 0.07651217  0.14340051  0.13155602  0.11183731  0.17202263]  -  1.2237768431 0.54942715355\n"
     ]
    }
   ],
   "source": [
    "results = []\n",
    "# get results for multiple N\n",
    "for N, nb_epoch in zip(Ns, nb_epochs):\n",
    "    # repeat exp multiple times\n",
    "    rep_results = []\n",
    "    print(nb_epoch)\n",
    "    for i in range(nb_reps):\n",
    "        X, Y = gen_data(N + nb_val_size)\n",
    "        X_train, Y_train = X[:N], Y[:N]\n",
    "        X_val, Y_val = X[N:], Y[N:]\n",
    "        sess, model_pred, ELBO = fit_model(nb_epoch, X_train, Y_train)\n",
    "        MC_samples = [model_pred(X_val) for _ in range(K_test)]\n",
    "        MC_samples = np.squeeze(np.array(MC_samples))\n",
    "        pppp, rmse = test(Y_val, MC_samples)  # per point predictive probability\n",
    "        means = MC_samples[:, :, :D]  # K x N\n",
    "        epistemic_uncertainty = np.var(means, 0).mean(0)\n",
    "        logvar = np.mean(MC_samples[:, :, D:], 0)\n",
    "        aleatoric_uncertainty = np.exp(logvar).mean(0)\n",
    "        ps = np.array([sess.run(layer_p) for layer_p in tf.get_collection('LAYER_P')])\n",
    "        plot(X_train, Y_train, X_val, Y_val, means)\n",
    "        \n",
    "        rep_results += [(rmse, ps, aleatoric_uncertainty, epistemic_uncertainty)]\n",
    "    test_mean = np.mean([r[0] for r in rep_results])\n",
    "    test_std_err = np.std([r[0] for r in rep_results]) / np.sqrt(nb_reps)\n",
    "    ps = np.mean([r[1] for r in rep_results], 0)\n",
    "    aleatoric_uncertainty = np.mean([r[2] for r in rep_results])\n",
    "    epistemic_uncertainty = np.mean([r[3] for r in rep_results])\n",
    "    print(N, nb_epoch, '-', test_mean, test_std_err, ps, ' - ', aleatoric_uncertainty**0.5, epistemic_uncertainty**0.5)\n",
    "    sys.stdout.flush()\n",
    "    results += [rep_results]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[ 1.60423202  1.19316615  1.11783758  1.10326831  1.16889844  1.13305354]\n",
      "[[ 0.07415819  0.40364766  0.40347826  0.40335548  0.40377486]\n",
      " [ 0.06994522  0.36166361  0.36148462  0.36145067  0.36191145]\n",
      " [ 0.07725683  0.3153241   0.31516561  0.31510171  0.31565487]\n",
      " [ 0.07840168  0.23576896  0.23567824  0.2355396   0.23609598]\n",
      " [ 0.07366523  0.23019637  0.22964412  0.22558789  0.2344135 ]\n",
      " [ 0.07651217  0.14340051  0.13155602  0.11183731  0.17202263]]\n"
     ]
    }
   ],
   "source": [
    "best_tests = np.array([[r[0] for r in result] for result in results]).T\n",
    "best_ps = np.array([[r[1] for r in result] for result in results])\n",
    "best_aleatoric_uncertainty = np.array([[r[2] for r in result] for result in results]).T.squeeze()\n",
    "best_epistemic_uncertainty = np.array([[r[3] for r in result] for result in results]).T.squeeze()\n",
    "print(best_tests.mean(0))\n",
    "print(best_ps.mean(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAADXCAYAAAAKuf2OAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\ncIJ0OJIIJ0iHI4lwgnQ4koj/D7zEbS6UmCwPAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdc038d9a58>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAADYCAYAAAD7709bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nNpDrsEKAix8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6bfa4c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAOQAAADYCAYAAAD7709bAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n4YJ0nBLCBek4JYQL0nFKCBek45QQ/x/w77mLVZURfgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb801bd630>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pylab\n",
    "%matplotlib inline\n",
    "\n",
    "pylab.figure(figsize=(3, 3))\n",
    "pylab.plot(Ns, np.mean(best_epistemic_uncertainty, 0)**0.5, '-*')\n",
    "pylab.xlabel('Number of data points (N)')\n",
    "pylab.ylabel('Epistemic uncertainty (std)')\n",
    "pylab.xscale('log')\n",
    "pylab.savefig('epistemic.pdf', bbox_inches='tight')\n",
    "pylab.show()\n",
    "\n",
    "pylab.figure(figsize=(3, 3))\n",
    "pylab.plot(Ns, np.mean(best_aleatoric_uncertainty, 0)**0.5, '-*')\n",
    "pylab.xlabel('Number of data points (N)')\n",
    "pylab.ylabel('Aleatoric uncertainty (std)')\n",
    "pylab.ylim([0, 2])\n",
    "pylab.xscale('log')\n",
    "pylab.savefig('aleatoric.pdf', bbox_inches='tight')\n",
    "pylab.show()\n",
    "\n",
    "pylab.figure(figsize=(3, 3))\n",
    "predictive = np.mean(best_epistemic_uncertainty, 0) + np.mean(best_aleatoric_uncertainty, 0)\n",
    "pylab.plot(Ns, predictive**0.5, '-*')\n",
    "pylab.xlabel('Number of data points (N)')\n",
    "pylab.ylabel('Predictive uncertainty (std)')\n",
    "pylab.ylim([0, 2])\n",
    "pylab.xscale('log')\n",
    "pylab.savefig('predictive.pdf', bbox_inches='tight')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAATEAAACKCAYAAADCH31qAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fdb6be14898>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pylab.figure(figsize=(3, 1.5))\n",
    "ps = best_ps.mean(1)\n",
    "ps_std = best_ps.std(1)\n",
    "for i, (p, p_std) in enumerate(zip(ps.T, ps_std.T)):\n",
    "    if i == 4:\n",
    "        continue  # layer 4 is noise layer\n",
    "    pylab.plot(Ns, p, '-*', label='Layer #' + str(i+1))\n",
    "#     pylab.fill_between(Ns, p + p_std, p - p_std, alpha=0.25)\n",
    "pylab.legend(bbox_to_anchor=(1, 0), loc='lower left')\n",
    "pylab.xlabel('Number of data points (N)')\n",
    "pylab.ylabel('Dropout probability')\n",
    "pylab.xscale('log')\n",
    "pylab.savefig('dropout_prob.pdf', bbox_inches='tight')\n",
    "pylab.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
